Question

Hydrogen gas can be prepared by reacting metallic sodium with water: 2Na(s) + 2H2O(l) → H2(g) + 2NaOH(aq). If the price of sodium were 165/kg, what would be the cost of producing 1.00 mol of hydrogen. Ignore the cost of the water.

Answer 1

$7.59

Step-by-step explanation:

From the balanced reaction equation, 2moles of sodium is required to produce 1.0 mole of hydrogen.

Now, the mass of 2 moles of sodium is 23.0×2 = 46 of sodium.

The mass of sodium required in kilograms is 46/1000= 0.046Kg of sodium

If 1 Kg of sodium cost $165

0.046Kg of sodium will cost 0.046×165 = $7.59

Therefore it will cost $7.59 to produce 1.0 moles of hydrogen gas according to the equation.

Answer 2

Answer: cost of Na = 7.59

Step-by-step explanation:

From the given balanced equation , 2 mol Na/2x23 g produced 1 mol of H2 gas

And cost of Na is 165 for per Kg or 1000 g Na

Then cost of Na for 2x23=46 g Na

Cost = 46x165/1000= 7.59