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An ideal gas `(C_(P)//C_(V)=gamma)` is expanded so that the amount of heat transferred to the gas the is equal to the decrease in its internal energy . What is the magnitude of work performed by one mole of the gas when its volume increase eight times if the initinal temperature of the gas is ` 300 K `? `C_(V)` for the gas is `1.5R` .(`R=2 cal//mol//K`)A. 900 calB. 450 calC. 1247.7 calD. 623.8 cal |
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Answer» Correct Answer - A `T_(2)=T_(1)((V_(1))/(V_(2)))^(gamma-1//2)=300 xx((1)/(8))^((5)/(3)-1//2)=150 K` Now, `w= DeltaU - q = 2DeltaU = 2 n C_(v) DeltaT` `= 2 xx 1 xx 1.5 R xx(150 - 300) = - 900 al.` |
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