A balloon filled with 39.1 moles of helium has a volume of 876 l at 0.0'c and 1.00 atm pressure. the temperature of the balloon is increased to 38.0'c as it expands to a volume of 998 l, the pressure remaining constant. calculate q, w, and #e for the helium in the balloon. (the molar heat capacity for helium gas is 20.8 j/°c # mol.)

Question

Chemistry

Katherine Brooks

15 June, 07:01

A balloon filled with 39.1 moles of helium has a volume of 876 l at 0.0'c and 1.00 atm pressure. the temperature of the balloon is increased to 38.0'c as it expands to a volume of 998 l, the pressure remaining constant. calculate q, w, and #e for the helium in the balloon. (the molar heat capacity for helium gas is 20.8 j/°c # mol.)

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Dallas Hogan · Answer 1

Moles of Helium = 39.1 moles

ΔT = (38.08 - 0.08) ֯C = 38.00 ֯C

Q = nC ΔT = 39.1 * 20.8 J / ֯C mol * 38.00 ֯C = 30904.64 J

W = P * ΔV = 1atm * (948 - 876) L = 122 atmL

1atmL = 101.325 J

W = 122 * 101.325 J = 12361.65 J

ΔE = q + W = (30904.64 + 12361.65) J = 43266.29 J

Answer is 43266.29 J