Question

Work done when 2 mole of an ideal gas is compressed from a volume of 5m³ to 2.5m³ at 300 K, under a pressure of 100 kpa is ______.

पर्याय

• 49.75 kJ

• 248.7 kJ

• 497.5 kJ

• 99.50 kJ

Answer 1

Work done when 2 mole of an ideal gas is compressed from a volume of 5m³ to 2.5m³ at 300 K, under a pressure of 100 kpa is 248.7 kJ.

Explanation:

Given,

Number of moles (n) = 2

Volume (V₁) = 5 m³ = 5000dm³

Volume (V₂) = 2.5 m³ = 2500dm³

Pressure (p) = 100 kPa

We have, work done (W) = - P_ext ·dV

= - 100 kPa (2500 - 5000)

= - 100 × - 2500 dm³

= 250000 J

= 250 kJ ≃ 248.9 kJ