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Ch.5 - Gases
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Tro 4th EditionCh.5 - Gases문제 72
5장, 문제 72

Consider the chemical reaction: 2 H2O(l) → 2 H2(g) + O2(g) What mass of H2O is required to form 1.4 L of O2 at a temperature of 315 K and a pressure of 0.957 atm?

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Identify the chemical reaction: \(2 \text{H}_2\text{O}(l) \rightarrow 2 \text{H}_2(g) + \text{O}_2(g)\).
Use the ideal gas law \(PV = nRT\) to find the moles of \(\text{O}_2\). Here, \(P = 0.957 \text{ atm}\), \(V = 1.4 \text{ L}\), \(R = 0.0821 \text{ L atm K}^{-1} \text{ mol}^{-1}\), and \(T = 315 \text{ K}\).
Calculate the moles of \(\text{O}_2\) using \(n = \frac{PV}{RT}\).
Use the stoichiometry of the balanced equation to find the moles of \(\text{H}_2\text{O}\) needed. From the equation, 1 mole of \(\text{O}_2\) is produced from 2 moles of \(\text{H}_2\text{O}\).
Convert the moles of \(\text{H}_2\text{O}\) to mass using the molar mass of \(\text{H}_2\text{O}\) (approximately 18.02 \(\text{ g/mol}\)).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on the balanced equation. It allows us to determine the amount of one substance needed to react with or produce a certain amount of another substance. In this case, the stoichiometric coefficients from the balanced equation indicate that 2 moles of water produce 1 mole of oxygen gas.
추천 영상:
가이드 코스
01:16
Stoichiometry Concept

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 number of moles of oxygen gas produced in the reaction, given its volume, temperature, and pressure. By rearranging the equation, we can find the moles of O2, which can then be used to find the corresponding mass of H2O needed.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

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 moles and grams in stoichiometric calculations. For water (H2O), the molar mass is approximately 18.02 g/mol, which will be used to calculate the mass of water required to produce the desired amount of oxygen gas.
추천 영상:
가이드 코스
02:11
Molar Mass Concept
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