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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 73
5장, 문제 73

CH3OH can be synthesized by the reaction: CO(g) + 2 H2(g) → CH3OH( g) What volume of H2 gas (in L), at 748 mmHg and 86 °C, is required to synthesize 25.8 g CH3OH? How many liters of CO gas, measured under the same conditions, are required?

검증된 단계별 안내
1
Calculate the molar mass of CH3OH (methanol) using the atomic masses of carbon (C), hydrogen (H), and oxygen (O).
Determine the number of moles of CH3OH by dividing the given mass (25.8 g) by the molar mass of CH3OH.
Use the stoichiometry of the balanced chemical equation to find the moles of H2 required. According to the equation, 2 moles of H2 are needed for every mole of CH3OH produced.
Apply the ideal gas law, PV = nRT, to find the volume of H2 gas. Use the moles of H2 calculated, the given pressure (748 mmHg converted to atm), and temperature (86 °C converted to Kelvin).
Repeat the stoichiometry and ideal gas law steps for CO gas, noting that 1 mole of CO is required for every mole of CH3OH produced, and calculate the volume of CO gas under the same conditions.

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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 substances consumed and produced in a reaction. In this case, the balanced equation shows that 2 moles of H2 are needed for every mole of CH3OH produced, which is essential for calculating the required volume of H2.
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 crucial for converting the amount of H2 and CO needed, based on the stoichiometry, into volumes at the specified conditions of pressure (748 mmHg) and temperature (86 °C).
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. For CH3OH, the molar mass is approximately 32.04 g/mol. Knowing the molar mass allows us to convert the mass of CH3OH (25.8 g) into moles, which is necessary for using stoichiometry to find the volumes of H2 and CO required for the reaction.
추천 영상:
가이드 코스
02:11
Molar Mass Concept
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