Use the figure below to determine how the pressure of a gas (at constant volume) is related to the temperature

Explain in terms of kinetic theory, each of the following:

1. Temperature and volume are directly proportional for a given sample of gas at constant pressure.
2. Pressure and volume are inversely proportional for a given sample of gas at constant temperature.
3. As the number of moles of gas increased, at constant temperature, the volume must be increased in order to keep the pressure constant.
4. The number of moles of gas present in a sample is directly proportional to the pressure at constant volume and temperature.
5. Number of moles and temperature are inversely proportional at constant pressure and volume.

The pressure in a constant-volume gas thermometer is 0.700 atm at 1.00×10² °C and 0.512 atm at 0 °C. (a) What is the temperature when the pressure is 0.0400 atm? (b) what is the pressure at 450 °C?

1)a volume (54.2 L) of gas at 115 K is heated to 345 K, at constant pressure. what volume does the gas occupy now.

2)The temperature of a 0.750-L gas sample at 25 °C and 2.00 atm is changed to 250 °C. What is the final pressure of the system, at constant volume?

3)A sample of neon gas has a volume of 7.2 mL at a pressure of 1.50 atm. What is the pressure exerted by the gas if the volume is increased to 28.8 mL, at constant temperature?