task 2 4 solve practical problems using the universal gas laws a a pre

Question

Task 2.4 Solve practical problems using the Universal Gas Laws
A) A pressure vessel is subjected to a gas pressure of 5 atmospheres at a temperature of 22°C. The vessel can withstand a maximum pressure of 12 atmospheres. Calculate the maximum gas temperature the pressure can withstand, and therefore the gas temperature increase the vessel can withstand.
B) A given mass of air occupies a volume of 0.8 m³ at a pressure of 600 kPa and a temperature of 25°C. Find the volume of the air at STP
C) i) A spherical vessel has a diameter of 2.5m and contains hydrogen at a pressure of 250kPa and a temperature of -10°C. Determine the mass of hydrogen in the vessel. Assume the characteristic gas constant R for hydrogen is 4160 J/(kg K)
ii) If the temperature of the vessel is increased to 40°C, what is the new pressure of the hydrogen gas within the vessel?
D) A quantity of gas in a cylinder occupies a volume of 0.2m³ at a pressure of 350kPa and a temperature of 32°C. It is compressed according to Boyle's law until its pressure is 1 MPa, and then expanded according to Charles' law until its volume is 0.15m³. Determine the final temperature of the gas