When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,P-T curve etc. For example, P-V curve for a fixed amount of an ideal gas at constant temperature is a rectangular hyperbola, V-T curve for a fixed amount of an ideal gas at constant volume is again a straight line. However, the shapes may vary if the constant parameters are also changed. Now, answer the following questions : Two moles of an ideal gas is changed from its initial state (16 atm, 6L) to final state (4 atm, 15L) in such a way that this change can be represented by a straight line in P-V curve.The maximum temperature attained by the gas during the above change is :(Take : R=1/12L atm K^(-1) "mol"^(-1))

When a sample of ideal gas is changed from an initial state to a final

1.	When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,P-T curve etc. For example, P-V curve for a fixed amount of an ideal gas at constant temperature is a rectangular hyperbola, V-T curve for a fixed amount of an ideal gas at constant volume is again a straight line. However, the shapes may vary if the constant parameters are also changed. Now, answer the following questions : Two moles of an ideal gas is changed from its initial state (16 atm, 6L) to final state (4 atm, 15L) in such a way that this change can be represented by a straight line in P-V curve.The maximum temperature attained by the gas during the above change is :(Take : R=1/12L atm K^(-1) "mol"^(-1))
Answer» 324 K 648 K 1296 K 972 K Solution :Equation of staight line `(y-y_1)=((y_2-y_1)/(x_2-x_1))(x-x_1)" " :. (P-16)=((4-16)/(15-6))(V-6)` `:. 3P+4V=72 implies T_("MAX")=((PV)_(max))/(nR)` For `(PV)_(max)((PV)_(max)).3P=72/2` and `4V=72/2 :. P=12,V=9 " " T_(max)=(12xx9)/(1XX(1//12))=648 K`