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Ch.10 - Gases: Their Properties & Behavior
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145당신이 사용하는 게 아니라요?교과서 변경
10장, 문제 88

A sample of magnesium metal reacts with aqueous HCl to yield H2 gas: Mg1s2 + 2 HCl1aq2¡MgCl21aq2 + H21g2 The gas that forms is found to have a volume of 3.557 L at 25 °C and a pressure of 747 mm Hg. Assuming that the gas is saturated with water vapor at a partial pressure of 23.8 mm Hg, what is the partial pressure in millimeters of mercury of the H2? How many grams of magnesium metal were used in the reaction?

검증된 단계별 안내
1
Calculate the partial pressure of hydrogen gas (H2) by subtracting the partial pressure of water vapor from the total pressure. Use the formula: Partial Pressure of H2 = Total Pressure - Partial Pressure of Water Vapor.
Convert the temperature from Celsius to Kelvin for use in gas law calculations. Use the formula: Temperature in Kelvin = Temperature in Celsius + 273.15.
Apply the Ideal Gas Law to find the moles of hydrogen gas produced. Use the formula: PV = nRT, where P is the partial pressure of hydrogen, V is the volume, n is the number of moles, R is the gas constant (0.0821 L atm K-1 mol-1), and T is the temperature in Kelvin.
Determine the moles of magnesium used in the reaction by using the stoichiometry of the balanced chemical equation. Since 1 mole of Mg produces 1 mole of H2, the moles of Mg used will be equal to the moles of H2 produced.
Calculate the mass of magnesium used in the reaction by multiplying the moles of magnesium by its molar mass (24.305 g/mol). Use the formula: Mass of Mg = Moles of Mg × Molar Mass of Mg.

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주요 개념

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

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 behavior of gases under various conditions. In this question, it will help determine the number of moles of hydrogen gas produced from the given volume, temperature, and pressure.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Dalton's Law of Partial Pressures

Dalton's Law states that in a mixture of gases, the total pressure is equal to the sum of the partial pressures of each individual gas. In this scenario, it is crucial to calculate the partial pressure of hydrogen gas by subtracting the vapor pressure of water from the total pressure, allowing for accurate determination of the gas's contribution to the overall pressure.
추천 영상:
가이드 코스
00:27
Dalton's Law and Partial Pressure

Stoichiometry

Stoichiometry involves the calculation of reactants and products in chemical reactions based on balanced equations. In this case, it is used to relate the moles of hydrogen gas produced to the moles of magnesium consumed, allowing for the determination of the mass of magnesium that reacted, using its molar mass.
추천 영상:
가이드 코스
01:16
Stoichiometry Concept
관련 실천
교과서 질문

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교과서 질문

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교과서 질문

Chlorine gas was first prepared in 1774 by the oxidation of NaCl with MnO2: 2 NaCl(s) + 2 H2SO4(l) + MnO2(s) → Na2SO4(s) + MnSO4(s) + 2 H2O(g) + Cl2(g) Assume that the gas produced is saturated with water vapor at a partial pressure of 28.7 mm Hg and that it has a volume of 0.597 L at 27 °C and 755 mm Hg pressure. (b) How many grams of NaCl were used in the experiment, assuming complete reaction?

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A 20.0-L flask contains 0.776 g of He and 3.61 g of CO2 at 300 K. (a) What is the partial pressure of He in mm Hg?
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교과서 질문

A mixture of 14.2 g of H2 and 36.7 g of Ar is placed in a 100.0-L container at 290 K. (a) What is the partial pressure of H2 in atmospheres?

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교과서 질문

Chlorine gas was first prepared in 1774 by the oxidation of NaCl with MnO2: 2 NaCl(s) + 2 H2SO4(l) + MnO2(s) → Na2SO4(s) + MnSO4(s) + 2 H2O(g) + Cl2(g) Assume that the gas produced is saturated with water vapor at a partial pressure of 28.7 mm Hg and that it has a volume of 0.597 L at 27 °C and 755 mm Hg pressure. (a) What is the mole fraction of Cl2 in the gas?

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