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.
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Q=CPΔT=52R(300)=6232.5 JQ=C_P\Delta T=\frac52R(300)=6232.5\,\mathrm J
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Substituting the result into the relevant definition or law gives the next quantity. This connects the parts of the problem instead of treating their answers separately.