Question

Hydrogen gas can be prepared by reacting metallic sodium with water: 2 Na + 2H2O -> H2 + 2NaOHIf the price of sodium were $165 per kilogram what would be the cost of producing 1.00 mol of hydrogen gas? ignore the cost of the water

Answer 1

Step 1

Let's write please the reaction:

2 Na + 2H2O => H2 + 2NaOH (don't forget to balance it)

Step 2

Look for the molar mass of 1 mol of Na: 23 g/mol approx.

Step 3

Calculate the mass of Na that produces 1.00 mol of H2 gas

2 x 23 g Na ------ 1 mol of H2

X ------ 1.00 mol of H2

X = 46 g Na

Step 4

We know this: 165 $/kg

1 kg = 1000 g => 46 g = 0.046 kg

Therefore, 0.046 kg Na x 165 $/kg Na = $7.59

Answer: The cost = $7.59