Methane is flowing through a well insulated converging-diverging nozzle. At the inlet, the pressure of methane is 161 bar, its temperature is -44.43 °C and its velocity is 20 m/sec. At the exit, the corresponding values for pressure and temperature of methane are 115 bar and -157.79 °C. Calculate the velocity of methane at the exit of the nozzle as well as the ratio of the cross sectional areas of the nozzle.

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