Subtopic: Thermodynamic principles of I.C. engines
Question Statement:
An ideal gas is compressed adiabatically (Adiabatic exponent γ =1.4) from 98 kPa to 480 kPa and the specific volume of the gas at the beginning of the compression stroke is 0.45 m³ kg⁻¹. The specific work done on the gas in kJ kg⁻¹ is _________.
Options:
(A) 12.6
(B) 18.5
(C) 25.4
(D) 63.3
Official Answer Key:
D
Step-by-Step Solution & Explanation
• v₂ = v₁(P₁/P₂)^(1/γ) = 0.45×(98/480)^0.7143 = 0.14465 m³/kg
• Work on gas = (P₂v₂−P₁v₁)/(γ−1) = (69.43−44.1)/0.4 = 63.33 kJ/kg
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