Problem 2
n moles of a monatomic ideal gas are heated at constant pressure from T₁ to T₂. Find work, heat absorbed, and internal-energy change. Use the stated ideal model: quantities are constant or vary only as specified, with no extra drag, losses, or external influences. State a sign convention, keep units consistent, and use a classical approximation only where appropriate. (a) Set up the governing equation from a fundamental law. (b) Solve for the requested quantity under the stated conditions. (c) Check the result using a suitable limit, sign, or unit test, and report both the expression and its physical meaning.Let p,V be pressure and volume; W is work done by the gas, ΔU its internal-energy change, Q the heat entering it, and ΔT=T₂−T₁.
problems.proof.stepOf
problems.proof.analysis
Solve the relation for the unknown while preserving algebraic signs and physical restrictions. Use any stated geometry or definition to express the result in the given data.
problems.proof.pitfall. Here W is work done by the gas and is positive, so the first law is Q=ΔU+W; another work convention changes the sign.