Physic Labs

Problem 2

One mole of a monatomic ideal gas is heated at constant pressure from T1T_1 to T2T_2 (T2>T1T_2>T_1). Given the gas constant RR, find the work done by the gas, the change in internal energy, and the heat absorbed. Assume the string, pulley, electrical source, or optical apparatus is ideal as stated, and neglect any effect not specified. State a clear sign convention, identify the physical Keep one model and sign convention throughout. Reuse each intermediate result with the same convention, then check that the answer has the required physical dimensions. (a) Set up the physical relation. (b) Find an intermediate quantity. (c) Obtain the answer and check its conditions and units.
Q=ΔU+W=52nRΔTQ=\Delta U+W=\tfrac52nR\Delta T
problems.proof.analysis

Use the first law with positive work done by the gas: heat supplied is internal-energy rise plus work. This is consistent with the stated model and the chosen sign convention.

problems.proof.pitfall. A monatomic ideal gas has CV=3R/2C_V=3R/2 and CP=5R/2C_P=5R/2; do not interchange them.