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Ch.10 - Gases
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBrown 14th EditionCh.10 - GasesProblema 43b
Capitolo 10, Problema 43b

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (b) What volume will the Cl2 occupy at STP?

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Identify the initial conditions: Volume (V1) = 8.70 L, Pressure (P1) = 119.3 kPa, Temperature (T1) = 24 °C.
Convert the initial temperature from Celsius to Kelvin using the formula: T(K) = T(°C) + 273.15.
Identify the conditions at STP: Pressure (P2) = 101.3 kPa, Temperature (T2) = 273.15 K.
Use the combined gas law to relate the initial and final states: \( \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \).
Rearrange the equation to solve for the final volume \( V_2 \): \( V_2 = \frac{P_1 \times V_1 \times T_2}{T_1 \times P_2} \).

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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 understanding how gases behave under different conditions and allows for the calculation of one variable when the others are known.
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Ideal Gas Law Formula

Standard Temperature and Pressure (STP)

STP is defined as a temperature of 0 °C (273.15 K) and a pressure of 1 atm (101.3 kPa). At STP, one mole of an ideal gas occupies 22.4 L. Understanding STP is crucial for converting gas volumes from one set of conditions to another.
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Standard Temperature and Pressure

Gas Volume Conversion

Gas volume conversion involves using the Ideal Gas Law and the conditions of STP to determine how the volume of a gas changes with variations in temperature and pressure. This concept is key for solving problems that require finding the volume of a gas under different environmental conditions.
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Common Conversion Factors
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