Hot questions in Fluid Mechanics and Thermal Sciences / GO Mechanical

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GATE2018-1-45
Steam flows through a nozzle at a mess flow rate of $m=0.1 \: kg/s$ with a heat loss of $5 \: kW$. The enthalpies at inlet and exit are $2500 \: kJ/kg$ and $2350 \: kJ/kg$, respectively. Assuming negligible velocity in inlet ($C_1 \approx 0$), the velocity ($C_2$) of steam (in $m/s$) at the nozzle exit is _____ (correct to two decimal places).

Steam flows through a nozzle at a mess flow rate of $m=0.1 \: kg/s$ with a heat loss of $5 \: kW$. The enthalpies at inlet and exit are $2500 \: kJ/kg$ and $2350 \: kJ/kg...

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GATE2018-2-44
Ambient air is at a pressure of $100 \: kPa$, dry bulb temperature at $30^{\circ} C$ and $60 \%$ relative humidity. The saturation pressure of water at $30^{\circ} C$ id $4.24 \: kPa$. The specific humidity of air (in $g/kg$ of dry air) is _______ (correct to two decimal places).

Ambient air is at a pressure of $100 \: kPa$, dry bulb temperature at $30^{\circ} C$ and $60 \%$ relative humidity. The saturation pressure of water at $30^{\circ} C$ id ...

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GATE2018-2-11
Select the correct statement for $50\%$ reaction stage in a steam turbine. The rotor blade is symmetric The stator blade is symmetric The absolute inlet flow angle is equal to absolute exit flow angle The absolute exit flow angle is equal to inlet angle of rotor blade

Select the correct statement for $50\%$ reaction stage in a steam turbine.The rotor blade is symmetricThe stator blade is symmetricThe absolute inlet flow angle is equal ...

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GATE2018-2-22
The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length $L$ is $\delta_L$. When the plate length is increased to twice its original length, the ... laminar boundary layer thickness at the end of the plate (with respect to $\delta_L$ is _______ (correct to two decimal palces).

The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length $L$ is $\de...

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GATE2018-2-10
For an ideal gas with constant properties undergoing a quasi-static process, which one of the following represents the change of entropy $(\Delta s$) from state $1$ to $2$? $\Delta s = C_p \ln \bigg( \dfrac{T_2}{T_1} \bigg) - R \ln \bigg( \dfrac{P_2}{P_1} \bigg) \\$ ... $\Delta s = C_V \ln \bigg( \dfrac{T_2}{T_1} \bigg) + R \ln \bigg( \dfrac{V_1}{V_2} \bigg)$

For an ideal gas with constant properties undergoing a quasi-static process, which one of the following represents the change of entropy $(\Delta s$) from state $1$ to $2...

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GATE2018-2-9
The peak wavelength of radiation emitted by a black body at a temperature of $2000 \: K$ is $1.45 \: \mu m$. If the peak wavelength of emitted radiation changes to $2.90 \: \mu m$, then the temperature (in $K$) of the black body is $500$ $1000$ $4000$ $8000$

The peak wavelength of radiation emitted by a black body at a temperature of $2000 \: K$ is $1.45 \: \mu m$. If the peak wavelength of emitted radiation changes to $2.90 ...

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GATE2016-3-52
Two optically flat plates of glass are kept at a small angle $\theta$ as shown in the figure. Monochromatic light is incident vertically. If the wavelength of light used to get a fringe spacing of $1$ $mm$ is $450$ $nm$, the wavelength of light (in $nm$) to get a fringe spacing of $1.5$ $mm$ is _________

Two optically flat plates of glass are kept at a small angle $\theta$ as shown in the figure. Monochromatic light is incident vertically.If the wavelength of light used t...

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GATE2016-3-47
In the vapour compression cycle shown in the figure, the evaporating and condensing temperatures are $260 \: K$ and $310 \: K$, respectively. The compressor takes in liquid-vapour mixture (state $1$) and isentropically compresses it to a dry saturated vapour condition (state ... $1$ and $0$ (in $kJ/kg$) is ____________

In the vapour compression cycle shown in the figure, the evaporating and condensing temperatures are $260 \: K$ and $310 \: K$, respectively. The compressor takes in liqu...

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GATE2017 ME-2: 40
A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the remaining is deflected vertically. The density of water is $1000 kg/m^{3}$. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is _________.

A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the re...

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GATE2017 ME-2: 43
A calorically perfect gas (specific heat at constant pressure $1000 \: J/kg .K$) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are $1100 \: K $and $400 \: K$, respectively. The power produced is $4.6\: MW$ ... turbine casing. The mass flow rate of the gas (in $kg/s$) through the turbine is $6.14$ $7.00$ $7.50$ $8.00$

A calorically perfect gas (specific heat at constant pressure $1000 \: J/kg .K$) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at tu...

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GATE2017 ME-1: 35
Moist air is treated as an ideal gas mixture of water vapour and dry air (molecular weight of air$= 28.84$ and molecular weight of water $=18$). At a location, the total pressure is $100$ kPa, the temperature is $30^{\circ}$ C and the relative humidity is ... saturation pressure of water at $30^{\circ} C$ is $4246$ Pa, the mass of water vapour per kg of dry air is _________ grams.

Moist air is treated as an ideal gas mixture of water vapour and dry air (molecular weight of air$= 28.84$ and molecular weight of water $=18$). At a location, the total ...

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GATE2017 ME-1: 6
For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE? ... the flow is fully developed. It is constant but is always lower than the average velocity in the fully developed region.

For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one ...

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GATE2016-2-21
In the phase diagram shown in the figure, four samples of the same composition are heated to temperatures marked by $a, b, c$ and $d$. At which temperature will a sample get solutionized the fastest? $a$ $b$ $c$ $d$

In the phase diagram shown in the figure, four samples of the same composition are heated to temperatures marked by $a, b, c$ and $d$.At which temperature will a sample g...

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GATE2016-2-39
The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $45$ percent of its volume is in oil while the rest is in water. The density of the body is _________ $kg/m^3$. The specific gravity of oil is $0.7$ and density of water is $1000$ $kg/m^3$. Acceleration due to gravity $g$ = $10$ $m/s^2$.

The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $45$ percent of its volume is in oil while th...

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GATE2017 ME-2: 47
A metal ball of diameter $60$ mm is initially at $220^{\circ}$ C. The ball is suddenly cooled by an air jet of $20^{\circ}$ C. The heat transfer coefficient is $200 W/m^{2}.K$ ... $^{\circ} C$) after $90$ seconds will be approximately $141$ $163$ $189$ $210$

A metal ball of diameter $60$ mm is initially at $220^{\circ}$ C. The ball is suddenly cooled by an air jet of $20^{\circ}$ C. The heat transfer coefficient is $200 W/m^{...

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GATE Mechanical 2014 Set 4 | Question: 49
In a compression ignition engine, the inlet air pressure is $1$ bar and the pressure at the end of isentropic compression is $32.42$ bar. The expansion ratio is $8$. Assuming ratio of specific heats $(γ)$ as $1.4$, the air standard efficiency (in percent) is _______

In a compression ignition engine, the inlet air pressure is $1$ bar and the pressure at the end of isentropic compression is $32.42$ bar. The expansion ratio is $8$. Assu...

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Arjun asked Feb 19, 2017

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GATE2017 ME-1: 30
The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, where $U_{\infty}$ is the free stream velocity and $\delta$ is the local boundary layer thickness. If $\delta^{*}$ is ... $\dfrac{2}{\Pi } \\$ $1-\dfrac{2}{\Pi } \\$ $1+\dfrac{2}{\Pi } \\$ $0$

The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, w...

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GATE2016-2-41
Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions $2R \times L$ at the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius $R$. The tank is filled with a liquid of density $\rho$ up to the tip ... $2\rho R^2gL(1+\dfrac{\pi }{4}) \\$ $\pi R^2\rho gL \\$ $\dfrac{\pi }{2}\rho R^2gL$

Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions $2R \times L$ at the bottom of an open tank as shown in the figure. The he...

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GATE2016-2-43
Two cylindrical shafts $A$ and $B$ at the same initial temperature are simultaneously placed in a furnace. The surfaces of the shafts remain at the furnace gas temperature at all times after they are introduced into the furnace. The temperature variation in the axial ... required (in hours) for the centerline of the shaft B to attain the temperature of $400^ \circ C$ is _______ .

Two cylindrical shafts $A$ and $B$ at the same initial temperature are simultaneously placed in a furnace. The surfaces of the shafts remain at the furnace gas temperatur...

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GATE2015-2-44
Work is done on an adiabatic system due to which its velocity changes from $10$ $m/s$ to $20$ $m/s$, elevation increases by $20$ $m$ and temperature increases by $1$ $K$. The mass of the system is $10$ $kg$, $C_v$ = $100$ $J/(kg.K)$ and ... $kJ$) on the system is _______

Work is done on an adiabatic system due to which its velocity changes from $10$ $m/s$ to $20$ $m/s$, elevation increases by $20$ $m$ and temperature increases by $1$ $K$....

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GATE2017 ME-2: 17
Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by $\tau _{w}$. The axial positions $x_{1}$ and $x_{2}$ on the plate are measured from the leading edge in the direction of flow. If $x_{2} > x_{1}$ ... $\tau _{w}\mid _{x_{1}} < \tau _{w}\mid _{x_{2}}$

Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by $\tau _{w}$. The axial positions $x_{1}$ and $x_{2}$ on the plate ...

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GATE2017 ME-2: 46
In a counter-flow heat exchanger, water is heated at the rate of $1.5 \: kg/s$ from $40^{\circ}$ C to $80^{\circ} \: C$ by an oil entering at $120^{\circ}$ C and leaving at $60 ^{\circ}$ C. The specific heats of water and oil are $4.2 \: kJ/kg.K$ and ... transfer coefficient is $400 W/m^{2}.K$. The required heat transfer surface area (in $m^{2}$) is $0.104$ $0.022$ $10.4$ $21.84$

In a counter-flow heat exchanger, water is heated at the rate of $1.5 \: kg/s$ from $40^{\circ}$ C to $80^{\circ} \: C$ by an oil entering at $120^{\circ}$ C and leaving ...

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GATE2016-2-52
The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of pure iron and $12V \: DC$ ... $F_e^{+2}$ and the Faraday constant to be $96500$ Coulomb.

The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of ...

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GATE2017 ME-1: 38
Heat is generated uniformly in a long solid cylindrical rod (diameter$=10$ mm) at the rate of $4 \times 10^{7} W/m^{3}$. The thermal conductivity of the rod material is $25 W/m.K$. Under steady state conditions, the temperature difference between the centre and the surface of the rod is ______ $^{\circ} C$.

Heat is generated uniformly in a long solid cylindrical rod (diameter$=10$ mm) at the rate of $4 \times 10^{7} W/m^{3}$. The thermal conductivity of the rod material is $...

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GATE2017 ME-1: 34
The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet temperature to the turbine is $1200$ K and the isentropic efficiency is $0.9$, the gas temperature at turbine exit is ________ $K$

The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet...

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GATE2017 ME-2: 39
The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. If the manometric fluid is water (density $1000 \: kg/m^{3}$) and the velocity $V$ is $20 m/s$, the differential head $h$ (in mm) between the two arms of the manometer is __________.

The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. ...

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GATE2016-3-43
A cylindrical steel rod, $0.01 \: m$ in diameter and $0.2 \: m$ in length is first heated to $750^ \circ C$ and then immersed in a water bath at $100^ \circ C$. The heat transfer coefficient is $250 \: W/m^2-K$. The density, specific heat and thermal ... $k=43 \: W/m-K$, respectively. The time required for the rod to reach $300^ \circ C$ is ________ seconds.

A cylindrical steel rod, $0.01 \: m$ in diameter and $0.2 \: m$ in length is first heated to $750^ \circ C$ and then immersed in a water bath at $100^ \circ C$. The heat ...

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GATE2017 ME-1: 31
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, $f=K(Re)^{-n}$, where ... $\left ( \dfrac{d_{2}}{d_{1}} \right )^{(5+n)}$

Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length an...

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GATE2017 ME-1: 8
Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the pipe is $100$ KPa, the minimum power required to pump the water across the pipe, in watts, is ______.

Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the...

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GATE2016-3-19
The blade and fluid velocities for an axial turbine are as shown in the figure. The magnitude of absolute velocity at entry is $300$ $m/s$ at an angle of $65^\circ$ to the axial direction, while the magnitude of the absolute velocity at exit is ... downward direction. Given that the axial (horizontal) velocity is the same at entry and exit, the specific work (in $kJ/kg$) is__________

The blade and fluid velocities for an axial turbine are as shown in the figure.The magnitude of absolute velocity at entry is $300$ $m/s$ at an angle of $65^\circ$ to the...

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GATE2017 ME-1: 37
Two black surfaces, AB and BC, of lengths $5$ m and $6$ m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor $F_{12}=0.5, T_{1}=800 K, T_{2}=600 K, T_{\text{surrounding}}=300 K$ and Stefan- ... $2$ to the surrounding environment is _______ kW.

Two black surfaces, AB and BC, of lengths $5$ m and $6$ m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view ...

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GATE2017 ME-2: 41
For the laminar flow of water over a sphere, the drag coefficient $C_{F}$ is defined as $C_{F}=F/(\rho U^{2} D^{2})$, where $F$ is the drag force, $\rho$ is the fluid density, $U$ is the fluid velocity and $D$ is the diameter ... $200$ mm under dynamically similar conditions, the drag force (in N) on this sphere is ________.

For the laminar flow of water over a sphere, the drag coefficient $C_{F}$ is defined as $C_{F}=F/(\rho U^{2} D^{2})$, where $F$ is the drag force, $\rho$ is the fluid den...

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GATE2017 ME-2: 42
In the Rankine cycle for a steam power plant, the turbine entry and exit enthalpies are $2803 \: kJ/kg$ and $1800 \: kJ/kg$, respectively. The enthalpies of water at pump entry and exit are $121 \: kJ/kg$ and $124 \: kJ/kg$, respectively. The specific steam consumption (in $kg/kW.h$) of the cycle is _________.

In the Rankine cycle for a steam power plant, the turbine entry and exit enthalpies are $2803 \: kJ/kg$ and $1800 \: kJ/kg$, respectively. The enthalpies of water at pump...

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GATE2017 ME-2: 45
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is $2.87 m^{3}$ and $300 \: K$, respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is $0.5$ bar. If the gas constant of air is $R=287 \: J/kg.K$ and the atmospheric pressure is $1$ bar, the mass of air (in $kg$) in the vessel is $1.67$ $3.33$ $5.00$ $6.66$

The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is $2.87 m^{3}$ and $300 \: K$, respectively. The gauge pressure indicated by a manomete...

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GATE2017 ME-1: 12
A heat pump absorbs $10$kW of heat from outside environment at $250$ K while absorbing $15$ kW of work. It delivers the heat to a room that must be kept warm at $300$ K. The Coefficient of Performance (COP) of the heat pump is ________.

A heat pump absorbs $10$kW of heat from outside environment at $250$ K while absorbing $15$ kW of work. It delivers the heat to a room that must be kept warm at $300$ K. ...

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GATE2015-2-42
A balanced counterflow heat exchanger has a surface area of $20$ $m^2$ and overall heat transfer coefficient of $20$ $W$/$m^2$-$K$. Air ($C_p$=$1000$ $J$/$kg$-$K$) entering at $0.4$ $kg/s$ and $280$ $K$ is to be preheated by the air leaving the system at $0.4$ $kg/s$ and $300$ $K$. The outlet temperature (in $K$) of the preheated air is $290$ $300$ $320$ $350$

A balanced counterflow heat exchanger has a surface area of $20$ $m^2$ and overall heat transfer coefficient of $20$ $W$/$m^2$-$K$. Air ($C_p$=$1000$ $J$/$kg$-$K$) enteri...

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GATE2017 ME-2: 10
A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature $\Delta T=100^{\circ}C$. If the coefficient of thermal expansion and Young's modulus of elasticity of steel are $11 \times 10^{-6}/^{\circ} C$ and $200$ GPa, respectively, the magnitude of thermal stress (in MPa) induced in the bar is _______

A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature $\Delta T=100^{\circ}C$. If the coefficient of thermal exp...

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GATE2017 ME-2: 44
One kg of an ideal gas (gas constant $R= 287\: J/kg.K$) undergoes an irreversible process from state-$1$ ($1$ bar, $300 \: K$) to state-$2$ ($2$ bar, $300\: K$). The change in specific entropy $(s_{2} - s_{1})$ of the gas (in $J/kg.K$) in the process is _________.

One kg of an ideal gas (gas constant $R= 287\: J/kg.K$) undergoes an irreversible process from state-$1$ ($1$ bar, $300 \: K$) to state-$2$ ($2$ bar, $300\: K$). The chan...

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GATE2017 ME-1: 11
The molar specific heat at constant volume of an ideal gas is equal to $2.5$ times the universal gas constant ($8.314$ J/mol.K). When the temperature increases by $100$K, the change in molar specific enthalpy is __________ J/mol.

The molar specific heat at constant volume of an ideal gas is equal to $2.5$ times the universal gas constant ($8.314$ J/mol.K). When the temperature increases by $100$K,...

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GATE2017 ME-1: 9
Which one of the following is NOT a rotating machine? Centrifugal pump Gear pump Jet pump Vane pump

Which one of the following is NOT a rotating machine?Centrifugal pumpGear pumpJet pumpVane pump

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