If 1.00 mol of an ideal monatomic gas initially at 77 K absorbs 100 J of thermal energy, what is the final temperature? Assume the volume does not change.

85 K

Explanation:

T₀ = initial temperature of the gas = 77 K

T = final temperature of the gas = ?

n = number of moles of monoatomic gas = 1.00 mol

R = universal gas constant = 8.314

c = heat capacity at constant volume = (1.5) R = (1.5) (8.314) = 12.5

Q = Amount of heat absorbed = 100 J

Amount of heat absorbed is given as

Q = n c (T - T₀)

100 = (1) (12.5) (T - 77)

T = 85 K