Physic Labs

Problem 2

One mole of monatomic ideal gas is heated at constant pressure from 300 K300\,\mathrm K to 600 K600\,\mathrm K. Use R=8.31 J/(mol K)R=8.31\,\mathrm{J/(mol\,K)}, CV=3R/2C_V=3R/2, CP=5R/2C_P=5R/2, and count work done by the gas as positive. (a) Find the first requested quantity. (b) Find the second quantity. (c) Determine the final result and check its units. (a) (a) Find the work done by the gas. (b) Find its internal-energy change. (c) Find the heat absorbed and verify the first law.
ΔU=32RΔT=3739.5 J\Delta U=\frac32R\Delta T=3739.5\,\mathrm J
problems.proof.analysis

This equation expresses the physical law governing the system. It incorporates the stated constraint rather than treating the relevant quantities as independent.

problems.proof.pitfall. Check the sign convention and physical case carefully; do not use a formula for a different motion or geometry.