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Ch.5 - Gases
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 5, Problema 71

Consider the chemical reaction: C(s) + H2O(g) → CO(g) + H2(g) How many liters of hydrogen gas are formed from the complete reaction of 15.7 g C? Assume that the hydrogen gas is collected at a pressure of 1.0 atm and a temperature of 355 K.

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Identify the balanced chemical equation for the reaction: \( \text{C(s) + H}_2\text{O(g)} \rightarrow \text{CO(g) + H}_2\text{(g)} \).
Calculate the moles of carbon (C) using its molar mass: \( \text{moles of C} = \frac{\text{mass of C}}{\text{molar mass of C}} \).
Use the stoichiometry of the balanced equation to find the moles of hydrogen gas (H\(_2\)) produced. Since the reaction is 1:1, the moles of H\(_2\) will be equal to the moles of C.
Apply the ideal gas law to find the volume of hydrogen gas: \( PV = nRT \), where \( P \) is the pressure, \( V \) is the volume, \( n \) is the number of moles, \( R \) is the ideal gas constant (0.0821 L·atm/mol·K), and \( T \) is the temperature in Kelvin.
Rearrange the ideal gas law to solve for \( V \): \( V = \frac{nRT}{P} \), and substitute the known values to find the volume of hydrogen gas.

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Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on the balanced chemical equation. It allows us to determine the amount of product formed from a given amount of reactant by using mole ratios derived from the coefficients in the balanced equation.
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Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law is essential for calculating the volume of gases produced in reactions, especially under specific conditions of pressure and temperature.
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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is crucial for converting between grams of a substance and moles, allowing for the application of stoichiometric calculations in determining the amounts of reactants and products in a chemical reaction.
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