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An ideal gas is expanding such that `PT^2=constant.` The coefficient of volume expansion of the gas is-A. `1/T`B. `2/T`C. `3/T`D. `4/T` |
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Answer» Correct Answer - C `pT^(2)=`constant `((nRT)/(V))T^(2)=`constant `T^(3)V^(1)=`constant Differentiating the equation, we get `(3T^(3))/(V)dT-(T^(3))/(V(3))dV=0` `3dT=(T)/(V)dV` From the equation, `dV=VgammadT` `gamma=` coefficient of volume expansion of gas `=dV//VdT` . From Eq. (i) , `gamma=(dV)/(VdT)=(3)/(T)` |
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