One mole of an ideal gas expands isothermally and reversibly from 2 lit to 20 lit at 300 K. If the final pressure of the gas is 1 bar, the work done by the gas is

Question

One mole of an ideal gas expands isothermally and reversibly from 2 lit to 20 lit at 300 K. If the final pressure of the gas is 1 bar, the work done by the gas is (A) -300 R ln 10 (B) 300 R ln 10 (C) 18 (D) -18

Tardigrade Admin · Accepted Answer

Given, V1=2 L V2=20 L T=300 K p2=1 bar Work done for ideal gas expands isothermally and reversibly ⇒ W=-2303 R T log (V2/V1) ⇒ W=-R T ln (V2/V1) ⇒ W=-R × 300 ln (20/2) ⇒ W=-300 R ln 10

Q. One mole of an ideal gas expands isothermally and reversibly from 2 lit to 20 lit at 300K. If the final pressure of the gas is 1 bar, the work done by the gas is

-300 R ln 10

300 R ln 10

18

-18

Given, V1​=2LV2​=20L T=300Kp2​=1bar Work done for ideal gas expands isothermally and reversibly ⇒W=−2303RTlogV1​V2​​ ⇒W=−RTlnV1​V2​​ ⇒W=−R×300ln220​ ⇒W=−300Rln10

Q. One mole of an ideal gas expands isothermally and reversibly from $2$ lit to $20$ lit at $300 K$ . If the final pressure of the gas is $1$ bar, the work done by the gas is