Question:medium
An ideal gas undergoes a process maintaining relation between pressure (\(P\)) and volume (\(V\)) as \(P = P_o \left(1 + \left(\frac{V_o}{V}\right)^2\right)^{-1}\), where \(P_o\) and \(V_o\) are constants. If two samples A and B (two moles each) with initial volumes \(V_o\) and \(3V_o\) respectively undergo above mentioned process and attain same pressure, then the difference at the temperatures of these samples, \(T_B - T_A\) is ______. (\(R\) = gas constant)
An ideal gas undergoes a process maintaining relation between pressure (\(P\)) and volume (\(V\)) as \(P = P_o \left(1 + \left(\frac{V_o}{V}\right)^2\right)^{-1}\), where \(P_o\) and \(V_o\) are constants. If two samples A and B (two moles each) with initial volumes \(V_o\) and \(3V_o\) respectively undergo above mentioned process and attain same pressure, then the difference at the temperatures of these samples, \(T_B - T_A\) is ______. (\(R\) = gas constant)
Updated On: Apr 10, 2026
- \(\frac{9P_0V_0}{8R}\)
- \(\frac{11P_0V_0}{10R}\)
- \(\frac{7P_0V_0}{6R}\)
- \(\frac{13P_0V_0}{11R}\)
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The Correct Option is B
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