Answer to Question #191976 in Physics for alma

Question

16. Calculate What is the volume of an ideal gas if there are 4.10 X 102 particles at a temperature of 262 K and a pressure of 195 kPa?

Answer 1

According to the key equation in kinetic molecular theory, the pressure is

$$p=\frac NVkT,\\\space\\ V=\frac{NkT}{p}=\frac{(4.1·10^2)(1.38·10^{-23})262}{195·10^3 }=7.61·10^{-24}\text{ m}^3.$$