Answer to Question #118983 in Physics for Susan Williams

Question

State the pressure law and describe an experiment to verify it. Deduce the formula for the pressure coefficient of gas. What is this value?

Answer 1

The pressure law: At a constant volume, if the mass of the gas does not change, the pressure over temperature ratio is a constant value:

$$\frac{P_1}{T_1}=\frac{P_2}{T_2}=\text{const}.$$

Deduce the formula for the pressure coefficient of gas. Start with the ideal gas law:

$$PV=nRT,\\ P=\frac{nR}{V}\cdot T=kT,\\ k=\frac{nR}{V}.$$

The value depends on the volume of gas and the amount of the substance.