Select the incorrect relation. (Where symbols | vedclass

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(C) For an ideal gas,the change in internal energy is given by $\Delta U = n C_V \Delta T$.Using $C_V = \frac{R}{\gamma - 1}$,we get $\Delta U = n \le

Vedclass · Accepted Answer

$\Delta U = \frac{P_f V_f - P_i V_i}{1 - \gamma}$

Vedclass · Answer

(C) For an ideal gas,the change in internal energy is given by $\Delta U = n C_V \Delta T$.Using $C_V = \frac{R}{\gamma - 1}$,we get $\Delta U = n \left( \frac{R}{\gamma - 1} \right) (T_f - T_i)$.Since $PV = nRT$,we have $nRT_f = P_f V_f$ and $nRT_i = P_i V_i$.Substituting these,$\Delta U = \frac{P_f V_f - P_i V_i}{\gamma - 1}$.Comparing this with option $C$,we see that $\frac{P_f V_f - P_i V_i}{1 - \gamma} = - \left( \frac{P_f V_f - P_i V_i}{\gamma - 1} \right)$,which is incorrect. Thus,option $C$ is the incorrect relation.

Select the incorrect relation. (Where symbols have their usual meanings)

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