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Q.

The work done in the isothermal reversible expansion of argon gas at $27^{0} C$ from 4L to 16L was equal to 4200 cal. What is the amount of argon subjected to such an expansion? $(A r = 40, \ln 4 = 1.4)$ (R value in Cal)

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a

5.0g

b

20.0g

c

48.1g

d

200.0g

answer is C.

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Detailed Solution

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$W = - nRT \ln \frac{P_{1}}{P_{2}}$

$\begin{array}{l} - 4200 = \frac{- W}{40} \times 2 \times 300 \times 1 n \frac{16}{4} \\ ∴ W = 200 g \end{array}$

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The work done in the isothermal reversible expansion of argon gas at 270C from 4L to 16L was equal to 4200 cal. What is the amount of argon subjected to such an expansion? (Ar= 40, ln4=1.4) (R value in Cal)