CH3 OH can be synthesized by the reaction: What volume of H2 gas (in L), at 748 mm Hg and 86^∘ C

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CH3 OH can be synthesized by the reaction: What volume of H2...

$\mathrm{CH}_{3} \mathrm{OH}$ can be synthesized by the reaction: What volume of $\mathrm{H}_{2}$ gas (in 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 CO gas, measured under the same conditions, are required?

$\mathrm{CH}_{3} \mathrm{OH}$ can be synthesized by the reaction:
What volume of $\mathrm{H}_{2}$ gas (in 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 CO gas, measured under the same conditions, are required?

Key Concepts

Stoichiometry

Stoichiometry involves the quantitative analysis of reactants and products in a chemical reaction. By using the mole ratios obtained from the balanced chemical equation, one can convert a known mass of a substance into the moles required, and then determine the corresponding moles of another substance involved in the reaction. This process is critical for calculating how much reactant is needed or how much product will form.

Unit Conversions and Conditions

Accurate gas calculations often require converting pressure units (such as from mm Hg to atm) and temperature units (from degrees Celsius to Kelvin) to ensure compatibility with the ideal gas law. Additionally, converting between mass and moles using the substance's molar mass is a fundamental step in linking macroscopic measurements to molecular quantities. Together, these conversions are crucial for precise stoichiometric and volumetric analyses.

Balanced Chemical Equation

A balanced chemical equation shows the precise stoichiometric relationship among reactants and products in a chemical reaction. It provides the necessary ratios in which substances combine and are formed, ensuring that mass and atoms are conserved. This is essential for determining the proportional amounts needed or produced, especially when converting between different units like moles, grams, or volumes.

Ideal Gas Law

The ideal gas law, expressed as PV = nRT, is a fundamental equation that relates the pressure (P), volume (V), temperature (T), and number of moles (n) of a gas, with R being the gas constant. This law is used to calculate the volume occupied by a given number of moles of gas under specified conditions of temperature and pressure, which is especially useful in gas volume problems.

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