Question

Given the ideal gas law, PV = nRT, show that (a)-←←=-1 8. (b) From thermodynamics, the relationship between Cp (heat capacity at constant pressure) and C, (heat capacity at constant volume) for an ideal gas is given by: C, ) Simplify the right hand side. (i) Can we conclude that C, > C, for an ideal gas? OT

Answer 1

We have pv + n RT here n R is a constant, we can taken as nR = k pv = kT /p rightarrow partial differential p/partial differential /y = kT partial differential /partial differential v (1/v) = -kT/v^2 .... (1) v = k T/p rightarrow partial differential v/partial differential T = k/p .... (2) t = pv// k rightarrow partial differential T/ p = v . k ... 9 3) therefore partial differential p/partial differential v . partial differential v/partial differential T . T/partial differential p = -k T/v^2 times k/p times v/k - kT/pv = -n RT/P v = -1 (b) (p - (v = p (partial