Final answer:
The student's question about nitrogen compressibility after a change in temperature and pressure requires using the compressibility factor chart and applying the generalized compressibility correction to the ideal gas law to calculate the new volume.
Step-by-step explanation:
The question involves calculating the new volume of nitrogen gas after it is compressed and heated, using the compressibility factor chart. The initial condition of the nitrogen gas is 10 cubic feet at -134.6 °C and 68 atm, and it is changed to -71.6 °C at 187 atm. The change in volume under the new conditions would depend on the compressibility factor (Z), which accounts for non-ideal behavior of gases, particularly at high pressures or low temperatures. To solve this problem, one would typically look at the compressibility factor chart, find the Z values for both the initial and final states, and apply the generalized compressibility correction to the ideal gas law to calculate the new volume.
However, without the actual values from the compressibility chart, this question cannot be definitively answered. Under ordinary circumstances, and assuming specific values for Z, appropriate application of the modified ideal gas law, which takes into account the compressibility factor, would lead to accurate calculations of the volume change. This equation is P1V1/Z1 = P2V2/Z2, where P represents pressure, V represents volume, Z is the compressibility factor, and the subscripts 1 and 2 refer to the initial and final states, respectively.