1 2 3 The heat capacity at constant volume of a certain amount of a monatomic ga

Question

1 2 3 The heat capacity at constant volume of a certain amount of a monatomic gas is 63.1 J/K. 1) (a) Find the number of moles of the gas. Standard Exerc Tipler6 18 Standard Exerc Tipler6 18 mol Submit You currently have O submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. Standard Exer Tipler6 18 Standard Exerc Tipler6 18 2) (b) What is the internal energy of the gas at T- 299 K? Standard Exen ipler6 19 kJ Submit You currently have 0 submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question. Standard Exer Tipler6 19s 3) (c) What is the heat capacity of the gas at constant pressure? J/K Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Explanation / Answer

Molar specific heat at constant volume Cv = 12.5 J/mol K

Molar specific heat at constant pressure Cp = 20.8 J/mol K

Heat capacity dQ/dT = 63.1 J/K

(a)

Number of moles n = (1/Cv)*(dQ/dT)

n = 0.08 x 63.1

n = 5.048 mol

(b)

Internal energy U = Cv n T

U = 12.5 x 5.048 x 299

U = 18.87 kJ

(c)

Heat capacity at constant pressure = n Cp = 5.048 x 20.8

= 105 J/K

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