CH3 OH can be synthesized by the reaction: CO(g)+2 H2(g) ⟶CH3 OH(g) What volume of H2 gas (in L

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CH3 OH can be synthesized by the reaction: CO(g)+2 H2(g)...

$\mathrm{CH}_{3} \mathrm{OH}$ can be synthesized by the reaction: $$ \mathrm{CO}(g)+2 \mathrm{H}_{2}(g) \longrightarrow \mathrm{CH}_{3} \mathrm{OH}(g) $$ What volume of $\mathrm{H}_{2}$ gas (in $\mathrm{L}$ ), at $748 \mathrm{~mm} \mathrm{Hg}$ and $86{ }^{\circ} \mathrm{C}$, is required to synthesize $25.8 \mathrm{~g} \mathrm{CH}_{3} \mathrm{OH}$ ? How many liters of $\mathrm{CO}$ gas, measured under the same conditions, is required?

$\mathrm{CH}_{3} \mathrm{OH}$ can be synthesized by the reaction:
$$
\mathrm{CO}(g)+2 \mathrm{H}_{2}(g) \longrightarrow \mathrm{CH}_{3} \mathrm{OH}(g)
$$
What volume of $\mathrm{H}_{2}$ gas (in $\mathrm{L}$ ), at $748 \mathrm{~mm} \mathrm{Hg}$ and $86{ }^{\circ} \mathrm{C}$, is required to synthesize $25.8 \mathrm{~g} \mathrm{CH}_{3} \mathrm{OH}$ ? How many liters of $\mathrm{CO}$ gas, measured under the same conditions, is required?

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Key Concepts

Balanced Chemical Equation

A balanced chemical equation represents the conservation of mass and atoms in a reaction by showing the correct mole ratio of reactants and products. It is crucial for determining how much of each substance reacts and is produced.

Molar Mass

The molar mass is the mass of one mole of a substance and is used to convert between the mass of a compound and the number of moles. This conversion is essential when relating given quantities to the stoichiometry of the reaction.

Stoichiometry

Stoichiometry involves using the mole ratios from the balanced chemical equation to calculate the required amounts of reactants or the amounts of products formed. It is the foundation for quantitative chemical analysis in reactions.

Ideal Gas Law

The ideal gas law (PV = nRT) relates a gas's pressure, volume, temperature, and number of moles. This law allows conversion from moles of gas to volume when measurements are taken under specified conditions that are not necessarily standard.

Temperature Conversion

Temperature must be converted from Celsius to Kelvin when using the ideal gas law, as the Kelvin scale is required for calculations involving absolute temperatures in gas law equations.

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