A mass of $15kg$ of air in a piston$-$cylinder device is heated from $27$ to $80C$ by passing a current through a resistor inside the cylinder. The pressure inside the cylinder is held constant $305$kPa during the process and a heat loss of $67kJ$ occurs. What is the volume $($in $m^3$ to three decimal places$)$ at the end of the process?

Absolute zero can be taken to be $-273\mathrm{.}15C.$ The specific gas constant for air can be taken to be $287\frac{J}{k}g.K.$