A 40-m3 tank is filled with 3690 moles of an ideal gas. The temperature of the gas is initially 321 K, but it is raised to 803 K.
1) What is the change in the pressure of the gas inside the tank?
2) Let's assume that the tank is made out of a material which has a coefficient of linear expansion of 6.5 × 10-5 K-1, and that the temperature of the tank is always the same as the temperature of the gas. Remember that the space inside the tank will expand as if it were made of the material surrounding it. What is the change in the volume of the tank due to the increase in temperature from 321 K to 803 K?
3) Given that the tank expands a bit, what is the actual change in the gas pressure due to the increase in temperature?