A polytropic process for an ideal gas is represented by equation `PV^(n) = constant`. If g is ratio of specific heats `((C_(p))/(C_(v)))`, then value of n for which molar heat capacity of the process is negative is given as

(a) A polytropic process for an ideal gas is represented by PV^(x) = constant, where x != 1 . Show that molar specific heat capacity for such a process is given by C = C_(v) + (R)/(1-x) . (b) An amount Q of heat is added to a mono atomic ideal gas in a process in which the gas performs a work (Q)/(2) on its surrounding. Show that the process is polytropic and find the molar heat capacity of the gas in the process.

Figure shows P versus V graph for various processes performed by an ideal gas. All the processes are polytropic following the process equation PV^(k) = constant. (i) Find the value of k for which the molar specific heat of the gas for the process is (C_(P)+C_(V))/(2) . Does any of the graph given in figure represent this process? (ii) Find the value of k for which the molar specific heat of the gas is C_(V) + C_(P) . Assume that gas is mono atomic. Draw approximately the P versus V graph for this process in the graph given above.

If gamma is the ratio of specific heats and R is the universal gas constant , then the molar specific heat at constant volume C_(v) is given by

For an ideal monoatomic gas, molar heat capacity at constant volume (C_(v)) is

An ideal has undergoes a polytropic given by equation PV^(n) = constant. If molar heat capacity of gas during this process is arithmetic mean of its molar heat capacity at constant pressure and constant volume then value of n is

An ideal has undergoes a polytropic given by equation PV^(n) = constant. If molar heat capacity of gas during this process is arithmetic mean of its molar heat capacity at constant pressure and constant volume then value of n is

An ideal gas undergoes a process in which its pressure and volume are related as PV^(n) =constant,where n is a constant.The molar heat capacity for the gas in this process will be zero if

P-V graph for an ideal gas undergoing polytropic process PV^(m) = constant is shown here. Find the value of m.

P-V graph for an ideal gas undergoing polytropic process PV^(m) = constant is shown here. Find the value of m.