# GATE2017 ME-2: 45

0 votes

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. $1.67$
2. $3.33$
3. $5.00$
4. $6.66$

recategorized

Answer:

## Related questions

0 votes
0 answers
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 _________.
0 votes
1 answer
If a mass of moist air contained in a closed metallic vessel is heated, then its Relative humidity decreases. Relative humidity increases. Specific humidity increases. Specific humidity decreases.
0 votes
0 answers
A mass $m$ of a perfect gas at pressure $p_{1}$ and volume $V_{1}$ undergoes an isothermal process. The final pressure is $p_{2}$ and volume is $V_{2}$. The work done on the system is considered positive. If $R$ is the gas constant and $T$ ... $RT \ln \dfrac{V_{2}}{V_{1}} \\$ $-mRT \ln \dfrac{P_{2}}{P_{1}}$
0 votes
0 answers
For a simple compressible system, $v, s, p$ and $T$ are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell's relations, $\bigg( \dfrac{\partial v}{\partial s} \bigg) _p$ is equal to $\bigg( \dfrac{\partial s}{\partial T} \bigg) _p \\$ ... $- \bigg( \dfrac{\partial T}{\partial v} \bigg) _p \\$ $\bigg( \dfrac{\partial T}{\partial p} \bigg) _s$
0 votes
0 answers
Which one of the following modifications of the simple ideal Rankine cycle increases the thermal efficiency and reduces the moisture content of the steam at the turbine outlet? Increasing the boiler pressure Decreasing the boiler pressure Increasing the turbine inlet temperature decreasing the condenser pressure