A vertical piston$/$cylinder device contains $0\mathrm{.}01$ lbm of gas. The gas has an initial volume of $0\mathrm{.}2$ ft$3.$The piston, with a mass of $200$ lbm and cross$-$sectional area of $0\mathrm{.}1$ ft$2,$ is in equilibrium with the gas. The outside ambient pressure is $1$ atm. The gas now undergoes a process in which the volume increases to $0\mathrm{.}3$ ft$3$ and the specific internal energy decreases by $10$ Btu$/$lbm$.$ Assume a quasiequilibrium process in which piston movement is slow with no acceleration. Friction between the piston and cylinder is negligible. Include p $$ V diagrams.

Determine:

a$.$ Work $[$Btu$]$ during the process $($magnitude and direction$)$

b$.$ Heat transfer $[$Btu$]$ during the process $($magnitude and direction$)$