A system consisting of $0\mathrm{.}0822$ moles of a diatomic ideal gas is taken from state A to state C along the path in the figure below.

A pressure$-$volume graph is plotted on a coordinate plane, where the horizontal axis is V $($L$),$ and the vertical axis is P $($atm$).$ The path consists of two line segments:

a segment from point A $(2,0\mathrm{.}300)$ to point B $(2,0\mathrm{.}800)$

a segment from point B $(2,0\mathrm{.}800)$ to point C $(8,0\mathrm{.}500)$

Arrows along the path are aligned such that their tails are closer to point A than are their tips.

$($a$)$ How much work is done on the gas during this process?

The response you submitted has the wrong sign. J

$($b$)$ What is the lowest temperature of the gas during this process?

K

Where does it occur?

Point APoint B$$Point C

$($c$)$ Find the change in internal energy of the gas in going from A to C$.$ Hint: Adapt the equation $($for the change in internal energy of a monatomic ideal gas$)$

$$U $=$

$32$

nR$$T $=$

$32$

$($PV$)=$

$32$

$($PCVC $$ PAVA$)$

to a diatomic ideal gas.

Your response differs from the correct answer by more than $100\%.$ J

$($d$)$ Find the energy delivered to the gas in going from A to C$.$

J