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AP EAMCET · PHYSICS · Thermodynamics

The slopes of the isothermal and adiabatic \(p-V\) graphs of a gas are by \(S_I\) and \(S_A\) respectively. If the heat capacity ratio of the gas is \(\frac{3}{2}\), then \(\frac{S_I}{S_A}=\)

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

Correct Answer

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

Step-by-step Solution

Detailed explanation

The slope of isothermal \(\left(S_I\right)\) and adiabatic \(\left(S_A\right)\) \(p-V\) graph of gas are related as Slope of adiabatic \(=\gamma \times\) slope of isothermal \(\Rightarrow \quad S_A=\gamma \times S_I \Rightarrow S_I / S_A=1 / \gamma\) \(=\frac{1}{3 / 2}\)…
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