[Single-digit Integer] The final volume (in L) of one mole of an ideal gas initially at 27°C and 8.2 — Thermodynamics and Thermochemistry Chemistry Question
Question
[Single-digit Integer] The final volume (in L) of one mole of an ideal gas initially at 27°C and 8.21 atm pressure, if it absorbs 420 cal of heat during a reversible isothermal expansion, is
Answer: 0006
💡 Solution & Explanation
q = nRT ln(V2/V1): 420 = 1 × 2 × 300 × ln(V2/V1) => ln(V2/V1) = 0.7 ≈ ln(2) => V2 = 2 × V1. V1 = nRT/P = 1 × 0.0821 × 300 / 8.21 = 3 L. V2 = 6 L.
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