31. A volume of 1.50 L of argon gas is confined in a cylin- der with a movable p

Question

31. A volume of 1.50 L of argon gas is confined in a cylin- der with a movable piston under a constant pressure of 1.22 × 105 Pa. When 1.25 kJ of energy in the form of heat is transferred from the surroundings to the gas, the internal energy of the gas increases by 1.11 kJ. What is the final volume of argon gas in the cylinder? Show all work 31. A volume of 1.50 L of argon gas is confined in a cylin- der with a movable piston under a constant pressure of 1.22 × 105 Pa. When 1.25 kJ of energy in the form of heat is transferred from the surroundings to the gas, the internal energy of the gas increases by 1.11 kJ. What is the final volume of argon gas in the cylinder? 31. A volume of 1.50 L of argon gas is confined in a cylin- der with a movable piston under a constant pressure of 1.22 × 105 Pa. When 1.25 kJ of energy in the form of heat is transferred from the surroundings to the gas, the internal energy of the gas increases by 1.11 kJ. What is the final volume of argon gas in the cylinder? Show all work

Explanation / Answer

V1 = 1.5 L

P = 1.22*10^5 Pa

Q =1.25 kJ = 1250 J

dU = 1.11 kJ = 1110 J

find final volume

Q - W = dU

W = -(dU - Q)

W = -(1100-1220)

W = 120 J

W = -P*(Vf-Vi)

W = -(1.22*10^5)(Vf- 1.5)*10^-3

120  = -(1.22*10^5)(Vf- 1.5)*10^-3

120 /(-(1.22*10^5)) *10^3 = (Vf- 1.5)

-0.983606 = VF - 1.5

Vf = -0.983606+1.5

Vf = 0.516394 m3 = 516 Liter

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