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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Chemistry
Chapter
Thermodynamics (C)

AIIMS 2014 · Chemistry · Thermodynamics (C)

A diatomic gas at pressure P , compressed adiabatically to half of...

A diatomic gas at pressure PP, compressed adiabatically to half of its volume, what is the final pressure?

Options

  1. A(2)1.4P(2)^{1.4} P
  2. BP/(2)1.4P /(2)^{1.4}
  3. C(2)5/3P(2)^{5 / 3} P
  4. DP/(2)5/3P /(2)^{5 / 3}

Correct answer

A. (2)1.4P(2)^{1.4} P

Step-by-step solution

For adiabatic conditions, PVγ=P V^\gamma= Constant P1V1γ=P2V2γ;V2=12V1P_1 V_1^\gamma=P_2 V_2^\gamma ; V_2=\frac{1}{2} V_1 P2=P1P_2=P_1\left(\frac{V_1}{V_2}\right)^\gamma \quad[Fordiatomicgas,[For diatomic gas,\gamma=1.4]]P_2=P_1\left(\frac{V_1 \times 2}{V_1}\right)^{1.4} P_2=P_1(2)^{1.4}=(2)^{1.4} P
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