In the kinetic theory model, it is assumed that there are many identical particles moving at random. State two other assumptions made in deriving the equation pV=13Nm(crms)2\displaystyle pV = \frac{1}{3}Nm(c_{\text{rms}})^2pV=31Nm(crms)2.
Explain why molecules of a gas exert a force on the walls of a container. Refer to Newton's laws of motion in your answer.
A sealed flask of volume 0.24 m3 contains an ideal gas at a pressure of 180 kPa. The mean kinetic energy of the gas molecules is 5.8 × 10-21 J. Calculate the amount of gas in the container in moles.
A graph shows the variation of pressure with volume for a fixed mass of an ideal gas at a constant absolute temperature TTT. Describe how the curve of pressure against volume at temperature 1.5T 1.5T\,1.5T compares to the original curve at temperature TTT.
A point on the original curve has coordinates (0.10 m3,120 kPa)(0.10\text{ m}^3, 120\text{ kPa})(0.10 m3,120 kPa). Calculate the pressure of the gas at this same volume of 0.10 m3 when the temperature is raised to 1.5T1.5T1.5T.
