A thermodynamic system consists of an ideal gas at an initial volume of 4.5 L an

Question

A thermodynamic system consists of an ideal gas at an initial volume of 4.5 L and a pressure of 7.8 × 104 Pa. An external force performs 94 J of work as it compresses the gas at constant pressure. What is the new volume of the gas?

5.7 L

3.3 L

2.1 L

3.9 L

A thermodynamic system consists of an ideal gas at an initial volume of 4.5 L and a pressure of 7.8 × 104 Pa. An external force performs 94 J of work as it compresses the gas at constant pressure. What is the new volume of the gas?

5.7 L

3.3 L

2.1 L

3.9 L

Explanation / Answer

here,

initial volume , Vi = 4.5 L

Vi = 4.5 * 10^-3 m^3

work done , W = - 94 J

pressure , P = 7.8 * 10^4 pa

let the new volume of gas be Vf

W = p * (Vf - Vi)

- 94 = 7.8 * 10^4 * (Vf - 4.5*10^-3)

Vf = 3.29 * 10^-3 m^3

Vf = 3.3 L

the new volume of the gas is 3.3 L

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