Question

A 3-m³ rigid tank contains nitrogen gas at 500 ka and 300 k. now heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 800 kpa. the work done during this process is

a. 500 kj
b. 900 kj
c. 1500 kj
d. 2400 kj

Answer 1

In a rigid tank where the volume does not change, the work done on or by the nitrogen gas during a pressure rise is zero, which does not match any of the provided answer options.

Step-by-step explanation:

The question is about determining the work done on or by nitrogen gas in a rigid tank when heat is transferred to it causing a pressure rise. In a rigid tank, since the volume does not change, the work done on or by the gas is zero regardless of the pressure change.

This is in accordance with the first law of thermodynamics for a closed system which states ΔU = Q - W, where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system. In this scenario, W is zero because the volume is constant (no boundary work is performed). Therefore, the correct option for the work done during this process is 0 kJ, although this does not match any of the provided answer options.