a) The temperature of an ideal monatomic gas increases by93 K while 3036 Jof hea

Question

a) The temperature of an ideal monatomic gas increases by93 K while 3036 Jof heat are added to the gas. If the gas contains 3 moles, how much work does it do on itssurroundings?
1 J

b) The temperature of a sample of dilute argon gas withn = 7.3 moles decreases by196. If 35,900 Jof heat are extracted from the gas, what is the work done by thegas on its surroundings?
1 J b) The temperature of a sample of dilute argon gas withn = 7.3 moles decreases by196. If 35,900 Jof heat are extracted from the gas, what is the work done by thegas on its surroundings?

Explanation / Answer

(a). increase in temperature dT = 93 K No.of moles n = 3 mol Change in internal energy U = ( 3/ 2) n R dT where R = gas constant = 8.314 J / mol K plug these values weget U = 3479.4 J Heat added Q = 3036 J work done W = Q - U                       = -443.409 J (b). No.of moles n = 7.3 mol increase in temperature dT = 196 K Change in internal energy U = - ( 3/ 2) n R dT where R = gas constant = 8.314 J / mol K plug these values weget U = - 17843.5068 J Heat added Q = - 35900 J work done W = Q - U                        =-18056.4932 J Change in internal energy U = - ( 3/ 2) n R dT where R = gas constant = 8.314 J / mol K plug these values weget U = - 17843.5068 J Heat added Q = - 35900 J work done W = Q - U                        =-18056.4932 J                            

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