Provide a first law analysis for each of the following cases:

(a) When a bicycle tire is inflated with a hand pump, the temperature inside rises. You can feel the warming effect at the valve stem.

(b) Artificial snow is made by quickly releasing a mixture of compressed air and water vapor at about 20 atm from a snow-making machine to the surroundings.

Please explain with the formula for the first law of thermodynamics if applicable.