A student claims that they set up an engine with a $pV$ diagram that looks like a square. The high pressure is at $2\mathrm{.}0$ atm $.$ The low pressure is at $0\mathrm{.}5$ atm $.$ Assume it is an ideal monatomic gas of $0\mathrm{.}005$ moles of the gas. The volume varies between $0\mathrm{.}0004$ and $0\mathrm{.}0008m^3$

a$.$ Draw the pV diagram.

b$.$ Find the temperature at each comer

c$.$ Determine $Q,$ change in internal energy and $W$ for each side of the square in the pV diagram.

w for each side