Physic Labs

Problem 2

One mole of monatomic ideal gas in fixed volume VV is heated from absolute temperature T1T_1 to T2>T1T_2>T_1. Take W>0W>0 as work done by the gas, neglect macroscopic kinetic and potential energy changes, and use gas constant RR. (a) Find initial and final pressure. (b) Find work, internal-energy change, and heat supplied. (c) Explain the heat sign and how pressure changes. Keep the sign convention consistent and use appropriate SI units throughout. Each part builds on intermediate results from the preceding part; apply a physical relation only where the stated model assumptions hold. Finally compare the answers with the initial conditions, expected trends, and an independent check when available.
p1V=RT1p_1V=RT_1
problems.proof.analysis

Apply the governing law for the stated model, using the sign convention in the problem. This provides the starting equation for the later parts.

problems.proof.pitfall. Isochoric means zero volume work, not zero internal-energy change.