The temperature of a gas is related to its absolute pressure and specific volume through T = 3.488pv, where T, p, and v are expressed in their standard SI units. Consider a gas at 100 kPa and 1 m3/kg.
(a) Estimate the change in temperature (ΔT) using Taylor's theorem if the state of the gas changes to 101 kPa and 1.01 m3/kg.
(b) Compare your estimate with the exact change in temperature.