The number of moles of hydrogen required will be 20 moles.
First, let us look at the balanced equation of the reaction:
[tex]C + 2H_2 --- > CH_4[/tex]
From the above equation, it is obvious that 1 mole of carbon requires 2 moles of hydrogen in order to produce a mole of methane.
In other words, the mole ratio of hydrogen to methane is 2:1. For every 1 mole of methane produced, 2 moles of hydrogen are consumed.
Now, what we want to produce is 10 moles of methane. The amount, in moles of hydrogen required, is calculated by:
10 moles x 2 = 20 moles.
Thus, 20 moles of hydrogen would be required to produce 10 moles of methane.
More on stoichiometric mole ratios can be found here: https://brainly.com/question/15053457
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