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GATE 2022 AG – Question 40

Farm Power · Farm Power · 2 marks · Multiple choice

Ideal gas is compressed adiabatically with γ=1.4 from 98 to 480 kPa. Initial specific volume is .45 m³/kg. Find work done on gas in kJ/kg.

  1. 12.6
  2. 18.5
  3. 25.4
  4. 63.3

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Correct answer: (D) 63.3

Explanation

For the intended reversible adiabatic compression, $pv^{\gamma}$ is constant and $w_{in}=p_1v_1[(p_2/p_1)^{(\gamma-1)/\gamma}-1]/(\gamma-1)$. Substitution gives 63.3404 kJ/kg, so **D**. This is positive work input; work done by the gas has the opposite sign.

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