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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 67

The hydrogen gas formed in a chemical reaction is collected over water at 30.0 °C at a total pressure of 732 mmHg. What is the partial pressure of the hydrogen gas collected in this way? If the total volume of gas collected is 722 mL, what mass of hydrogen gas is collected?

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Identify the known values: total pressure (P_total) = 732 mmHg, temperature (T) = 30.0 °C, volume (V) = 722 mL.
Convert the temperature from Celsius to Kelvin using the formula: T(K) = T(°C) + 273.15.
Look up the vapor pressure of water at 30.0 °C from a reference table.
Calculate the partial pressure of hydrogen gas (P_H2) using Dalton's Law: P_H2 = P_total - P_water.
Use the ideal gas law, PV = nRT, to find the number of moles of hydrogen gas (n), and then convert moles to mass using the molar mass of hydrogen (H2).

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Dalton's Law of Partial Pressures

Dalton's Law states that in a mixture of gases, the total pressure exerted is equal to the sum of the partial pressures of each individual gas. In this scenario, the total pressure of the gas collected includes both the hydrogen gas and the water vapor. To find the partial pressure of hydrogen, one must subtract the vapor pressure of water at the given temperature from the total pressure.
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00:27
Dalton's Law and Partial Pressure

Vapor Pressure of Water

The vapor pressure of water is the pressure exerted by water vapor in equilibrium with its liquid at a specific temperature. At 30.0 °C, the vapor pressure of water is approximately 31.8 mmHg. This value is crucial for calculating the partial pressure of hydrogen gas, as it must be deducted from the total pressure to isolate the pressure of the hydrogen collected.
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Raoult's Law and Vapor Pressure

Ideal Gas Law

The Ideal Gas Law, represented as PV = nRT, relates the pressure (P), volume (V), number of moles (n), the ideal gas constant (R), and temperature (T) of a gas. This law can be used to calculate the number of moles of hydrogen gas collected from the volume and partial pressure, which can then be converted to mass using the molar mass of hydrogen (2.02 g/mol).
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01:15
Ideal Gas Law Formula
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