A pneumatic cylinder contains a fixed mass of an ideal gas. The cylinder is fitted with a low-friction movable piston. Initially, the gas is at a temperature of 320 K, and the product of its pressure and volume is 6.4 × 103 J.
As heat is added, the gas expands at a constant pressure, performing 2.4 × 103 J of work on the piston.
What is the final temperature of the gas?
200 K200\text{ K}200 K
400 K400\text{ K}400 K
440 K440\text{ K}440 K
560 K560\text{ K}560 K