Physic Labs

Problem 2

An ideal monatomic gas with nn moles is heated at constant pressure from T1T_1 to T2T_2. Find the work done, change in internal energy, and heat absorbed; use gas constant RR. The process is isobaric and only pressure-volume work occurs; take W>0W>0 for work done by the gas and Q>0Q>0 for heat absorbed. (a) Find the work WW. (b) Find the internal-energy change ΔU\Delta U. (c) Use the first law to determine the heat QQ absorbed. Express each answer in terms of the supplied parameters, using SI units for any numerical evaluation. State the assumptions used, check dimensions at each result, and compare with the governing law to catch a sign error or a missing condition.
W=nRΔT,ΔU=32nRΔT,Q=52nRΔT\boxed{W=nR\Delta T,\quad \Delta U=\frac32nR\Delta T,\quad Q=\frac52nR\Delta T}
problems.proof.analysis

The final expressions are collected in the order requested and must satisfy the equations used above. Checking dimensions, signs, and limiting conditions catches algebra errors or omitted constraints.