Methanol, ‍ , can be produced in industrial plants by reacting carbon dioxide with hydrogen in the presence of a catalyst. water is the other product. how many volumes of hydrogen are required for each volume of carbon dioxide when each gas is at the same temperature and pressure?

Volume of hydrogen gas required for each volume of carbon dioxide is 3 times the volume of  carbon dioxide gas.

Explanation:

Volume of the carbon dioxide gas =

Temperature of the carbon dioxide gas =

Pressure of the carbon dioxide gas =

Moles of carbon dioxide gas =

(ideal gas equation )

..[1]

Volume of the hydrogen  gas =

Temperature of the hydrogen   gas =

Pressure of the hydrogen   gas =

Moles of hydrogen  gas =

..[2]

According to reaction 1 mole of carbon dioxide reacts with 3 moles of hydrogen gas.

Using above value in [2]

Given,

Volume of hydrogen gas = 3 × volume of carbon dioxide gas

Volume of hydrogen gas required for each volume of carbon dioxide is 3 times the volume of carbon dioxide gas.

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