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Find the amount of work done to increase the temperature of one mole of an ideal gas by 30°C, if it is expanding under the condition $V \infty T^{\frac{2}{3}}$ : (take R = 8.31 J/mol-K)

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16.62 J

166.2 J

1662 J

1.662 J

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detailed solution

Correct option is B

Compare with TVγ-1=constant We get γ=-12. So, W=nR∆T1-γ=18.31301--12=166.2

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Find the amount of work done to increase the temperature of one mole of an ideal gas by 30°C, if it is expanding under the condition V∞T23: (take R = 8.31 J/mol-K)

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Find the amount of work done to increase the temperature of one mole of an ideal gas by 30°C, if it is expanding under the condition $V \infty T^{\frac{2}{3}}$ : (take R = 8.31 J/mol-K)