Physic Labs

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.
pV=nRT⇒p dV=nR dTpV=nRT\Rightarrow p\,dV=nR\,dT
problems.proof.analysis

Choose the physical system and sign convention specified in the problem, then identify the ideal assumptions. This fixes which forces, currents, or quantities can be exchanged during the process.