Neon is a monatomic gas with a molar heat capacity at constant volume of 12.66 J/(mol · K).Two moles of neon gas enclosed in a constant volume system receive 4250 J of heat.If the gas was initially at 293 K,what is the final temperature of the neon?

Question

Quizplus · Accepted Answer

The heat energy supplied to the gas is given by the formula:
Q = nCvΔT
where Q = heat supplied, n = number of moles, Cv = molar heat capacity at constant volume, and ΔT = change in temperature.

Rearranging the formula to solve for ΔT, we get:
ΔT = Q/nCv

Substituting the given values, we get:
ΔT = 4250 J / (2 mol x 12.66 J/(mol·K))
ΔT = 167.98 K

The final temperature (T2) can be found by adding the change in temperature (ΔT) to the initial temperature (T1):
T2 = T1 + ΔT
T2 = 293 K + 167.98 K
T2 = 460 K

Therefore, the final temperature of the neon gas is 460 K, which is answer choice C.

Neon Is a Monatomic Gas with a Molar Heat Capacity