Question

One mole of oxygen of volume 1 litre at 4 atm pressure to attains 1 atm pressure

Answer 1

your question is incomplete. A complete question is ----> One mole of oxygen of volume 1 litre at 4 atm pressure to attain 1 atm pressure by result of isothermal expansion. Find work done by the gas ?

Work done in isothermal expansion = W = $2.303RTlog\left(\frac{P_1}{P_2}\right)$

where, R = 0.0821 atm/mol/K

T = PV/nR

= 4× 10^5 N/m² × 1L/1 × 0.0821 K

= (4 × 10^5/0.0821) K

$\frac{P_1}{P_2}$ = 4/1 = 4

Hence, W = 2.303 × 0.0821 × 4 × 10^5/0.0821 × log4

= 2.303 × 4 × 10^5 log4

= 5.54 × 10^5 J

= 554 × 10³ J

= 554 kJ

hence, work done by the gas = 554 kJ

Answer 2

Oxygen of one mole and consisting of one-liter volumes at 4 atm of pressure to attain 1 atm of pressure will be:

Answer: PV = not

4 x 1= v x rt

T= 4/r

The final answer after all the calculations will be the following:

5.42 J or 5.52 joules.

So this is the correct answer for the asked question after verifying the calculations.