The coexistence curve for the liquidvapor transition is often described by Antoine's equation which gives the equilibrium vapor pressure: B l P=l 0g1{ :1 J C+T where A (dimensionless), B (in K), and C [in K) are parameters, T is the temperature (in K), and P is the equilibrium vapor pressure [in bars). According to NIST, for liquid propane near ambient temperature, A = 4.5367. B = 1149.35 K. and C = 24.9(16 K. The molecular weight of propane. CgHg is 44.1. The density of the liquid propane phase near ambient temperature [assumed to be 21 \"C) is about 580 lags-\"[1113. You may assume that gaseous propane is an ideal gas. (a) [11] points) Estimate the latent heat of vaporization of propane along the coexistence curve at 21 0C. (b) [11] points) You slow cook a roast on the barbeque. It takes an hour. Your barbeque is supplied by a standard 5gallon tank of liquid propane. When you nish cooking. your propane tank weighs 1.1 kg less than when you started. The temperature of the propane tank remained roughly constant at 21 C (in equilibrium with the environment] while you cooked the roast. Was heat exchanged between the propane tank and the environment? How much heat