Question

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For the reaction C + 2H2 → CH4, how many moles of hydrogen are needed to make 146.6 grams of methane, CH4 ?

Round your answer to the nearest tenth. If you answer is a whole number like 4, report the answer as 4.0

Use the following molar masses. If you do not use these masses, the computer will mark your answer incorrect.:

Element

Molar Mass

Hydrogen

1

Carbon

12

Answer 1

Answer: Moles of hydrogen required are 4.57 moles to make 146.6 grams of methane,
`CH_(4)`.

Step-by-step explanation:

Given: Mass of methane = 146.6 g

As moles is the mass of a substance divided by its molar mass. So, moles of methane (molar mass = 16.04 g/mol) are calculated as follows.

`Moles = (mass)/(molar mass)\\= (146.6 g)/(16.04 g/mol)\\= 9.14 mol`

The given reaction equation is as follows.

`C + 2H_(2) \rightarrow CH_(4)`

This shows that 2 moles of hydrogen gives 1 mole of methane. Hence, moles of hydrogen required to form 9.14 moles of methane is as follows.

`Moles of H_(2) = (9.14)/(2)\\= 4.57 mol`

Thus, we can conclude that moles of hydrogen required are 4.57 moles to make 146.6 grams of methane,
`CH_(4)`.