Problem 2
One mole of monatomic ideal gas in fixed volume is heated from absolute temperature to . Take as work done by the gas, neglect macroscopic kinetic and potential energy changes, and use gas constant . (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.
problems.proof.stepOf
problems.proof.analysis
Solve the algebraic expression and retain the solution consistent with the physical domain. Checking units helps catch algebraic errors.
problems.proof.pitfall. Isochoric means zero volume work, not zero internal-energy change.