$3($a$)\_$#$2$: A piston$-$cylinder assembly contains $0\mathrm{.}10$ kg of air initially at $1$ bar with an initial

volume of $0\mathrm{.}086m^3.$ Heat transfer to the air occurs at constant pressure until the volume

increases to $0\mathrm{.}244m^3.$ Determine the heat transfer, in kJ $,$ for the process using the $2$ methods and

compare the results.

$($a$)$ Assuming constant specific heat $($in$))$

$($b$)$ Using Table A$-22(57\mathrm{.}70$ kJ $($in$))$

TABLE A$-22$ Ideal Gas Properties of Air

$p_r$ and $v_r$ data for use with Eqs. $6\mathrm{.}41$ and $6\mathrm{.}42,$ respectively.