Nitrogen gas in an expandable container is cooled from 53.0 ∘C to 11.6 ∘C with the pressure held constant at 2.85×10^5 Pa . The total heat liberated by the gas is 2.65×10^4 J . Assume that the gas may be treated as ideal.

Find the number of moles of gas.

Question

Nitrogen gas in an expandable container is cooled from 53.0 ∘C to 11.6 ∘C with the pressure held constant at 2.85×10^5 Pa . The total heat liberated by the gas is 2.65×10^4 J . Assume that the gas may be treated as ideal. 

Find the number of moles of gas.

anonymous · Answer

How can I solve this problem without being given the volume?

anonymous · Answer

Use the formula $$PV=nRT$$, where:
n - number of moles
P- Pressure in Pascals
V - Volume in m^3
R - Ideal gas constant = 8.314
T - Temperature in Kelvin.
$$n=\frac{ PV }{ RT }$$
Onto conversion:
53.0-11.6=41.4C$$K=T+273=41.4+273=314.4K$$
If you had volume (not sure if you are missing), you would simply substitute in the formula.