Question

What is the work done when 2 mole of an ideal gas is expanded isothermally and reversibly from 5 m³ to 10 m³ at 300 K? (R = 8.314 J K^-1 mol^-1)

पर्याय

• - 34.58 kJ

• - 3.458 kJ

• 3.458 kJ

• - 1.725 kJ

Answer 1

- 3.458 kJ

Explanation:

n = 2 mole, V₁ = 5 m³, V₂ = 10 m³

T = 300 K,  R = 8.314 JK^-1 mol^-1

`"W"_"max" = - 2.303  "nRT"  log_10  "V"_2/"V"_1`

`therefore "W"_"max" = - 2.303 xx 2 xx 8.314 xx 300  log_10  10/5`

= - 3457.97 J

`therefore "W"_"max" = - 3.458`kJ