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An ideal gas is expanding such that `PT^@=constant.` The coefficient of colume expansion of the gas is-A. `1//T`B. `1//T`C. `3//T`D. `4//T` |
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Answer» Correct Answer - C (C) `PT^2=constant (given)` Also for an ideal gas `(PV)/T=constt` From the above two equations, after eliminatig P. `V/T^3=constt rArr V=kT^3 where k=constant` `rArr(dV)/V=3(dT)/T` `rArrdv=(3/T)VdT……(i)` We know that change in volume due to thermal expansion is given by `dV=VgammadT......(ii)` Where gamma=coefficient of volume expansion. From (i) and (ii) `VgammadT=(3/T)VdT rArr gamma=3/T` |
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