Problem $02\mathrm{.}060-$ Carbon dioxide enters an adiabatic nozzle

Carbon dioxide enters an adiabatic nozzle at $1,200K$ with a velocity of $25\frac{m}{s}$ and leaves at $400$ K $.$ Assume constant specific heats at room temperature.

Problem $02\mathrm{.}060.$b $-$ Mach number at outlet for carbon dioxide flowing in a nozzle

Determine the Mach number at the exit of the nozzle. The gas constant of carbon dioxide is $R=0\mathrm{.}1889k\frac{J}{k}g*K.$ Take its constant pressure specific heat and specific heat ratio at room temperature to be $c_p=0\mathrm{.}8439k\frac{J}{K}g*K$ and $k=1\mathrm{.}288.($Round the final answer to three decimal places.$)$

The Mach number at the exit of the nozzle is