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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 $4.6\: MW$ and heat escapes at the rate of $300 \: kJ/s$ through the turbine casing. The mass flow rate of the gas (in $kg/s$) through the turbine is

  1. $6.14$
  2. $7.00$
  3. $7.50$
  4. $8.00$
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