InterviewSolution
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InterviewSolution
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A tank of volume `0.2 m^3` contains helium gas at a temperature of `300 K` and pressure `1.0 xx 10^5 N m^(-2)`. Find the amount of heat required to raise the temperature to `400 K`. The molar heat capacity of helium at constant volume is `3.0 cal K^(-1 ) mol^(-1)`. Neglect any expansion in the volume of tank. |
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Answer» Correct Answer - `[2400 cal.]` For monoatomic gas `C_(v)=(3)/(2)R, n_(1)=1 mol e` For diatomic gas, `C_(v)=(5)/(2)R, n_(2)=3 mol e` Average molar specific heat of mmixture at constant volume is, `C_(v)=(n_(1)(C_(v))_(1)+n_(2)(C_(v))_(2))/(n_(1)+n_(2))=(1xx(3)/(2)R+3xx(5)/(2)R)/((1+3))` `C_(v)=(9)/(4)xx8.31xx300=8 mol e` `:.` Amount of heat requuired `Delta Q=nC_(v) Delta T=8xx3.0xx(400-300)` `Delta Q=2400 cal` |
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