Select the correct formula for isothermal irreversible process for an ideal gas:

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$Q = n R T \ln (\frac{P_{2}}{P_{1}})$

$\begin{aligned} W = n R T \ln \frac{P_{2}}{P_{1}} \end{aligned}$

$\begin{array}{r} W = P_{ext} (\frac{n R T}{P_{2}} - \frac{n R T}{P_{1}}) \end{array}$

$\begin{array}{r} Q = P_{ext} (\frac{n R T}{P_{2}} - \frac{n R T}{P_{1}}) \end{array}$

answer is C.

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Detailed Solution

The correct formula for isothermal irreversible process for an ideal gas is $\begin{array}{r} Q = P_{ext} (\frac{n R T}{P_{2}} - \frac{n R T}{P_{1}}) \end{array}$

$Δ U = 0; \Rightarrow q = - w w = - P_{ext} (V_{2} - V_{1})$

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