3. Solve the following problems. Work must be shown in order to earn credit.
a) Consider a canister filled with helium. The initial volume is 2.27 liters, and the initial pressure is 2.69 atm. This gas is compressed so that it now exerts 7.08 atm of pressure. Assuming the temperature does not change, what is its final volume?
b) A quantity of nitrogen gas occupies a volume of 3.67 liters at a temperature of 276 K. The gas expands to 4.50 liters while the pressure is held constant. Calculate the new temperature of the gas in both Kelvin and in Celsius.
c) A container of mixed gases is 20.9°C and the original pressure is 1.05 atm. What is the new pressure if the temperature is increased to 140°C? Assume that volume remains constant.