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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2013 · Physics · Kinetic Theory of Gases

During an adiabatic process, the pressure of a gas is found to be...

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of CpCv\frac{C_p}{C_v} for the gas is

Options

  1. A43\frac{4}{3}
  2. B2
  3. C53\frac{5}{3}
  4. D32\frac{3}{2}

Correct answer

D. 32\frac{3}{2}

Step-by-step solution

According to question, p∝T3pV=nRT and p∝T3P∝(pV)3⇒p2V3= constant pV3/2= constant ∵pVγ= constant ∴γ=32\begin{aligned} & p \propto T^3 \\ & p V=n R T \\ & \text{ and } p \propto T^3 \\ & P \propto(p V)^3 \\ & \Rightarrow p^2 V^3=\text{ constant } \\ & p V^{3 / 2}=\text{ constant } \\ & \because p V^\gamma=\text{ constant } \\ & \therefore \gamma=\frac{3}{2} \end{aligned}
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