A spring$-$loaded piston$-$cylinder device is filled with a mixture whose mass is $55$ percent nitrogen and $45$ percent carbon dioxide. The piston diameter and spring are selected for this device such that the volume is $0\mathrm{.}1m^3$ when the pressure is $200$ kPa and $1\mathrm{.}0m^3$ when the pressure is $900$ kPa $.$ Initially, this mixture is at $200$ kPa and $45C.$ The gas is heated until the initial pressure of the mixture has tripled. Calculate the total work and heat transfer for this process. The universal gas constant is $R_U=8\mathrm{.}314k\frac{J}{k}$mol$*K.$ Use the table containing the ideal$-$gas specific heats of various common gases and the table containing the molar mass, gas constant, and criticalpoint properties.

The total work for this process is $$ kJ$.$

The heat transfer for this process is $$ kJ$.$