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TS EAMCET · Physics · Thermodynamics

During an adiabatic process, the pressure of a gas is proportional to the cube of its temperature. The value of \(C_p / C_V\) for that gas is

  1. A \(\frac{7}{5}\)
  2. B \(\frac{4}{5}\)
  3. C \(\frac{5}{3}\)
  4. D \(\frac{3}{2}\)
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Answer & Solution

Correct Answer

(D) \(\frac{3}{2}\)

Step-by-step Solution

Detailed explanation

In adiabatic process \(p V^{\prime}=k\) Given, \(\quad p \propto T^3\) or \(p=k T^3\) \(\begin{aligned} & =k\left(\frac{p V}{R}\right)^3 \\ & =\left(\frac{k}{R^3}\right) p^3 V^3 \\ \text { or } \quad p & =\left(\frac{k}{R^3}\right) p^3 V^3 \\ \Rightarrow \quad p^2 V^3 & =k…
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