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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 43d
Capitolo 10, Problema 43d

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. (d) At what pressure will the volume equal 5.00 L if the temperature is 58 °C?

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Identify the initial conditions: The initial volume (V1) is 8.70 L, the initial pressure (P1) is 119.3 kPa, and the initial temperature (T1) is 24 °C. Convert the temperature to Kelvin by adding 273.15, so T1 = 24 + 273.15 K.
Identify the final conditions: The final volume (V2) is 5.00 L, and the final temperature (T2) is 58 °C. Convert this temperature to Kelvin as well, so T2 = 58 + 273.15 K. The final pressure (P2) is what we need to find.
Use the combined gas law, which relates pressure, volume, and temperature: \( \frac{P1 \cdot V1}{T1} = \frac{P2 \cdot V2}{T2} \). This equation allows us to solve for the unknown pressure P2.
Rearrange the combined gas law to solve for P2: \( P2 = \frac{P1 \cdot V1 \cdot T2}{V2 \cdot T1} \).
Substitute the known values into the equation: P1 = 119.3 kPa, V1 = 8.70 L, T1 = (24 + 273.15) K, V2 = 5.00 L, and T2 = (58 + 273.15) K. Calculate P2 using these values.

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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 fundamental in understanding gas behavior under varying conditions. In this scenario, it allows us to calculate the pressure of chlorine gas when the volume and temperature change.
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Ideal Gas Law Formula

Charles's Law

Charles's Law states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is held constant. This principle is essential for understanding how changes in temperature affect the volume of a gas, which is relevant when determining the new pressure of Cl2 gas at a different volume and temperature.
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Charles's Law

Boyle's Law

Boyle's Law states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. This concept is crucial for solving the problem, as it helps to understand how a decrease in volume (from 8.70 L to 5.00 L) will affect the pressure of the gas, given the temperature change.
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Boyle's Law
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Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (c) At what temperature would the pressure in the tank equal 15.2 MPa?

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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. (c) At what temperature will the volume be 15.00 L if the pressure is 116.8 kPa

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