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An ideal gas undergoes an isothermal expansion at 77ºC increasing its volume from 1.3 to 3.4 L. The entropy change of the gas is 24 J/K. How many moles o0f gas are present?

An ideal gas undergoes an isothermal expansion at 77ºC increasing its volume from 1.3 to 3.4 L. The entropy change of the gas is 24 J/K. How many moles o0f gas are present?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
6 years ago
To obtain the number of moles n are present in the gas, substitute 24 J/K for ΔS, 8.31 J/mol. K for R, 3.4 L for Vf and 1.3 L for Vi in the equation,
n = ΔS/ (R ln Vf/Vi)
= (24 J/K) / (8.31 J/mol. K) (ln 3.4 L/1.3 L)
= (24 J/K) / (8.31 J/mol. K) (ln (3.4/1.3))
= 3.00 mol
From the above observation we conclude that, the number of moles n are present in the gas would be 3.00 mol.

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