Work (Isothermal Process)

W = n R T ln \frac{V _{f}}{V _{i}}

Work for isothermal (constant T) expansion of ideal gas.

Variables

W

Work

Work by gas

J

n

Moles

Amount of gas

mol

R

Gas constant

8.314

J/(mol·K)

T

Temperature

Constant temperature

K

V_f

Final volume

Final volume

m³

V_i

Initial volume

Initial volume

m³

Derivation

W = ∫P dV = ∫(nRT/V) dV = nRT ln(V_f/V_i).

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