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Under certain circumstances, carbon dioxide, CO_2(g), can be made to react with

ID: 1048222 • Letter: U

Question

Under certain circumstances, carbon dioxide, CO_2(g), can be made to react with hydrogen gas, H_2 (g), to produce methane, CH_4 (g), and water vapor, H_2O(g): CO_2(g) + 4H_2(g) rightarrow CH_4 (g) + 2H_2 O(g) How many moles of methane are produced when 59.6 moles of carbon dioxide gas react with excess hydrogen gas? Express your answer with the appropriate units. For example, write the unit moles as mol. How many moles of hydrogen gas would be needed to react with excess carbon dioxide to produce 88.1 moles of water vapor? Express your answer with the appropriate units. For example, write the unit moles as mol.

Explanation / Answer

A)

consider the given reaction

C02 + 4 H2 ---> CH4 + 2 H20

we can see that

moles of CH4 produced = moles of C02 reacted

so

moles of CH4 produced = 59.6

B)

now

C02 + 4 H2 ---> CH4 + 2 H20

we can see that

moles of H20 produced = (2/4) x moles of H2 reacted

moles of H20 produced = 0.5 x moles of H2 reacted

given

moles of H20 produced = 88.1

so

88.1 = 0.5 xmoles of H2 reacted

moles of H2 reacted = 176.2

so

176.2 moles of H2 are required to react