Question

Calculate the work done when an ideal gas expands isothermally and reversibly in a piston and cylinder assembly for expansion of a gas at 300 K from initial pressure 10 bar to final pressure 1 bar.

Answer 1

`W=5743.1077\ J`

Step-by-step explanation:

The expression for the work done is:

`W=RT \ln \left( (P_1)/(P_2) \right)`

Where,

W is the amount of work done by the gas

R is Gas constant having value = 8.314 J / K mol

T is the temperature

P₁ is the initial pressure

P₂ is the final pressure

Given that:

T = 300 K

P₁ = 10 bar

P₂ = 1 bar

Applying in the equation as:

`W=8.314* 300 \ln \left( (10)/(1) \right)`

`W=300* \:8.314\ln \left(10\right)`

`W=2.30258* \:2494.2`

`W=5743.1077\ J`