Hydrogen gas can be produced by reacting metallic sodium

Question

Hydrogen gas can be produced by reacting metallic sodium with water (do not attempt this at home!).

(a) Write a balanced reaction for the formation of hydrogen gas from sodium and water.

(b) Using the table of reduction potentials show that this process is spontaneous.

(c) Calculate the grams of sodium required to produce 1.0 mol H₂.

(d) Calculate the grams of sodium required to produce sufficient hydrogen to meet the average daily energy requirement of 1.1 x 10⁶ kJ for an individual in the U.S.

(e) How much would it cost to produce 1.0 mol H^­₂ from sodium metal? Assume the water is free.