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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Key Concepts

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 fundamental for calculating the behavior of gases under various conditions, allowing us to determine the pressure exerted by a gas in a given volume at a specific temperature.

Partial Pressure

Partial pressure is the pressure that a single gas in a mixture would exert if it occupied the entire volume alone at the same temperature. According to Dalton's Law of Partial Pressures, the total pressure of a gas mixture is the sum of the partial pressures of each individual gas, which is crucial for solving problems involving gas mixtures.

Molar Mass and Moles Calculation

To find the partial pressure of a gas, it is essential to calculate the number of moles of that gas using its mass and molar mass. The formula n = mass/molar mass allows us to convert the mass of H2 and Ar into moles, which can then be used in the Ideal Gas Law to find the partial pressure of H2 in the mixture.