Question

Calculate the work done (W_AB ) by the gas, if 5 moles of an ideal gas is carried by a quasi state isothermal process at 500 K to twice its volume ______.

Options

• 1500 J

• 14407 J

• 13380 J

• 14890 J

Answer 1

Calculate the work done (W_AB ) by the gas, if 5 moles of an ideal gas is carried by a quasi state isothermal process at 500 K to twice its volume 14407 J.

Explanation:

Number of moles, n = 5

Temperature, T  = 500 k

volume changes from v to 2v

workdone is isothermal process

W = nRT ln`("v"_2/"v"_1)`

= 5 × R × 500 ln `(2"v")/"v"`

= 5 × R × 500 × (ln 2)

Gas constant, R = 8.314 Jk^-1mol^-1

∴ W = 5 × 8.314 × 500 × ln 2

= 14407.06 J

= 14407 J 

∴ Work done by the gas = 14407 J