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Comprehension II
\( \mathrm{P} \)
An ideal gas \( \left(C_{\mathrm{P}} / C_{\mathrm{v}}=\gamma\right) \) is expanded so that the amount of heat transferred to the gas is equal to the decrease in its internal energy.
I What is the magnitude of work performed by one mole of the gas when its volume increases 8 times if the initial temperature of the gas is \( 300 \mathrm{~K} \) ? \( C_{\mathrm{v}, \mathrm{m}} \) for the gas is \( 1.5 R \).
(a) \( 900 \mathrm{cal} \)
(b) \( 450 \mathrm{cal} \)
(c) \( 1247.7 \mathrm{cal} \)
(d) \( 623.8 \mathrm{cal} \)
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