A gas is allowed to expand in a well-insulated container against a constant external pressure of 2 . 5 atm from an initial volume of 2 . 50 L to a final volume of 4 . 50 L . The change in internal energy ΔU of the gas in joules will be

Question

A gas is allowed to expand in a well-insulated container against a constant external pressure of 2 . 5 atm from an initial volume of 2 . 50 L to a final volume of 4 . 50 L . The change in internal energy ΔU of the gas in joules will be, 1136 . 25 J ., - 500 J ., - 505 J ., + 505 J .

MARKS App · Accepted Answer

ΔU = q + w For adiabatic process, q = 0 ∴ ΔU = w = - P ⋅ ΔV = - 2 .5 atm × 4 .5 - 2 .5 L = - 2 .5 × 2 L - atm = - 5 × 101 .3 J = - 506 .5 J ≈ - 505 J

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