A cylinder containing nitrogen gas is at room temperature (300 K).If the pressure of the gas container is held constant and the gas is heated,such that 2.15 * 10⁴ J of energy is transferred by heat to the gas;the temperature of the gas increases by 80 K.How many moles of gas are in the container?

Question

Quizplus · Accepted Answer

We can use the equation Q = nCv(ΔT) to solve for the number of moles of gas in the container. Since the pressure is constant, the specific heat at constant volume Cv for nitrogen gas is 20.8 J/(mol K).
Plugging in the given values, we get: 
2.15 × 10^10 J = n × 20.8 J/(mol K) × 80 K
n = 9.2 mol,
therefore the answer is B.

A Cylinder Containing Nitrogen Gas Is at Room Temperature (300