How much heat is required to raise the temperature of 2.00 moles of an ideal monatomic gas by 10°C at constant volume? (R = 8.31 J/mol ∙ K).
A)249 J
B)416 J
C)208 J
D)200 J
E)125 J

Question

Quizplus · Accepted Answer

The heat required to raise the temperature of an ideal monatomic gas by 10°C at constant volume is given by:Q = nCvΔTwhere:n is the number of moles of gasCv is the molar specific heat at constant volumeΔT is the change in temperatureFor an ideal monatomic gas, Cv = (3/2)R, where R is the ideal gas constant.Therefore,Q = n(3/2)RΔTSubstituting the given values, we get:Q = (2.00 mol)(3/2)(8.31 J/mol ∙ K)(10°C) = 249 JTherefore, the correct answer is A) 249 J.

How Much Heat Is Required to Raise the Temperature of 2.00