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NEET 2011 (AIPMT, Mains) · Thermodynamic Processes

Thermodynamic Processes question from NEET 2011 (AIPMT, Mains)

Q240NEET 2011 · AIPMT · MAINSMedium

Thermodynamic Processes

A mass of diatomic gas $(\gamma = 1.4)$ at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27oC to 927oC. The pressure of the gas in the final state is

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Answer: (d)

Adiabatic: $P \propto T^{\gamma/(\gamma-1)} = T^{1.4/0.4} = T^{3.5}$ .
$T_1 = 300\ \text{K}$ , $T_2 = 1200\ \text{K}$ , ratio $= 4$ .
$P_2 = 2 \times 4^{3.5} = 2 \times 128 = 256\ \text{atm}$
So the answer is (d) 256 atm.

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