4.65 l of nitrogen at standard pressure is compressed into a 0.480 l container. what is the new pressure in kpa?

Assuming that nitrogen gas is ideal, we can use the equation PV = nRT to relate first conditions to the second condition. At constant temperature, pressure and volume are indirectly related as follows:

P = k / V

k is equal nRT

P1V1 = P2V2
P2 = 101.325 ( 4.65 ) / .480 = 981.586 kPa