InterviewSolution
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InterviewSolution
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One mole of an ideal monoatomic gas at temperature `T_0` expands slowly according to the law `p/V` = constant. If the final temperature is `2T_0`, heat supplied to the gas isA. `2RT_(0)`B. `RT_(0)`C. `(3)/(2)RT_(0)`D. `(1)/(2)RT_(0)` |
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Answer» Correct Answer - A In a process `PV^(x)` = constant molar heat capacity is given by `C=(R )/(gamma-1)+(R )/(1-x)` As the process is `(P)/(V)` = constant, i.e `PV^(-1)`=constant , `threfore , x =-1` For an ideal monatiomic gas , `gamma=(5)/(3)` `C=(R )/((5)/(3)-1)+(R )/(1-(-1))=(3)/(2)R+(R)/(2)=2R` `DeltaQ = n C(DeltaT)=1(2R)(2R_(0)-T_(0))=2RT_(0)` |
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