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−W=ΔU;[Q]=[W]=JQ-W=\Delta U;\quad [Q]=[W]=\mathrm J
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Finally substitute the given values and check units and limiting behavior. The result agrees with the signs and scale implied by the model and previous parts.