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JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2003 · 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 absolute temperature. The ratio Cp/Cv\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{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

P∝T3\mathrm{P} \propto \mathrm{T}^3 \quad\left(\frac{\mathrm{P}_1}{\mathrm{P}_2}\right)=(T1 T2)3\left(\frac{\mathrm{T}_1}{\mathrm{~T}_2}\right)^3 Comparing it with standard eq. CpCv=γ=32\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=\gamma=\frac{3}{2}
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