Answer to Question #180099 in Physics for Zara

Question

The monoatomic ideal gas receives 750 J of heat energy (heat) while working on an environment of 625 J. There are 1.3 moles of gas in the sample. Find the difference between the final and initial temperature of the system. Appropriate constants taken from tables. (Answer: ΔT = 7.71 K)

Answer 1

According to the first law of thermodynamics,

$$Q=\Delta U+W,\\\space\\ \Delta U=Q-W=\frac32 nR\Delta T,\\\space\\ \Delta T=\frac{2(Q-W)}{3nR}=\frac{2(750-625)}{3·1.3·8.314}=7.71\text{ K}.$$