Natural gas is a mixture of methane , ethane , propane and butane as well as other components . Comsider natural gas, modeled as an ideal gas with an equivalent molecular weight 23.6kg/kmol and an equivalent constant specific heat 2.01 kJ/kg*K. The gas is slowly compressed in a frictionless , adiabatic process with initial volume 212 cm^3 to a final volume 98 cm^3. The initial pressure is 39kPa and the initial temperature is 15 deg celcius. Find the final temperature, pressure of the gas and find the work done to compress the gas.