A hypothetical gas obeys the following equation of state PV = nRT(1 + cP), where ce R is a constant. (a) What is the thermal expansion of this hypothetical gas? (b) When the number of particle is conserved in a given volume V, find the change in the pressure of this gas with varying temperature, i.e., OP/Of. Can you express it in terms of the thermal expansion and isothermal compressibility coefficients