MEDIUMMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryThermodynamics and ThermochemistryConcept of Heat and Work
One mole of an ideal gas is initially at 0°C and 1 atm pressure. If it absorbs 1000 cal heat during a reversible isothermal expansion, what will be its final volume?
A.102.5 L
B.242.5 L
C.22.4 L
D.141.47 L✓ Correct
Explanation
Since, the gas is under STP conditions hence, V₁ = 22.4 l, V₂ = ? For isothermal and reversible Expansion, U 0 U q W >> U 0,then q W q W = –[–nRT × 2.303 log V₂/V₁] Or 1000 × 4.184 J =1 × 8.314 × 273 × 2.303 × log V₂ / 22.4 Or 4184 = 5227.14 log 2 V 22.4 2 V 141.47L Reversible and Irreversible Work
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