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A monoatomic ideal gas initially at 17°C is suddenly compressed to one-eight of its original volume. The temperature after compression is:

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none of these

17°C

887°C

136°C

answer is C.

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Detailed Solution

${TV}^{γ - 1} = constant \Rightarrow T_{2} {(\frac{V_{1}}{8})}^{\frac{2}{3}} = (290) {(V_{1})}^{\frac{2}{3}} \Rightarrow T_{2} = 290 {(8)}^{\frac{2}{3}} K = 1160 K = 887^{o} C$

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