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The average atmospheric concentration of [tex]SO_2[/tex] in air is 39.1 mg/m\(^3\). What is the partial pressure of [tex]SO_2[/tex]?

Answer :

Final answer:

To calculate the partial pressure of SO2, you can use the formula P = (Patm) X (percent content in mixture). However, without knowing the percentage of SO2 in the mixture, we can't provide an exact calculation. If we assume that the entire atmospheric concentration is solely composed of SO2, we can estimate the partial pressure using the ideal gas law.

Explanation:

The partial pressure of a gas in a mixture can be calculated by multiplying the atmospheric pressure (Patm) by the percent content of that gas in the mixture. In this case, since the question asks for the partial pressure of sulfur dioxide (SO2) and not oxygen, we can use the given information. The average atmospheric concentration of SO2 is 39.1 mg/m3, but we need to convert this to a partial pressure using the ideal gas law.To calculate the partial pressure, we can use the formula: P = (Patm) X (percent content in mixture). Since the question doesn't specify the percentage of SO2 in the mixture, we are unable to provide an exact calculation without that information. However, if we assume that the entire 39.1 mg/m3 is solely composed of SO2, we can convert the concentration to partial pressure using the ideal gas law._The ideal gas law states that the pressure of a gas is equal to the number of moles of the gas multiplied by the ideal gas constant (R) and the temperature in Kelvin (T). Since we don't have the temperature, we can't calculate the exact partial pressure. However, we can use the ideal gas law to estimate the partial pressure if we assume that the temperature is constant.

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Final answer:

The question asks for the calculation of the partial pressure of sulfur dioxide (SO2) given its concentration in air. This calculation could be determined by using the formula P = (Patm) X (percent content in mixture) where P is partial pressure and Patm is total atmospheric pressure, after converting the given concentration into a percentage. However, additional specs such as temperature, volume, and total pressure are important for a precise calculation.

Explanation:

The subject of this question involves the calculation of the partial pressure of a gas, specifically sulfur dioxide (SO2), given its concentration in air. In this case, the relationship between the concentration of a gas in air and its partial pressure is key. As the atmospheric pressure (Patm) typically varies, the specific conditions however need to be defined to derive the partial pressure from the concentration.

To calculate the partial pressure (P) of a gas, we use the formula: P = (Patm) X (percent content in mixture). By converting the given concentration of SO2 into a percentage and knowing the total atmospheric pressure, we could determine the partial pressure of SO2. However, specific conditions such as temperature, volume, and total pressure also need to be considered as they are factors that could affect the calculation as per the Ideal Gas Law.

For the precise calculation of partial pressure from concentration, under specific conditions, the Ideal Gas Law (PV = nRT) may need to be invoked where P is pressure, V is volume, n is the amount of gas, R is the gas constant, and T is the temperature in Kelvin. But without these specific conditions provided, it’s not possible to deliver an accurate answer to this question.

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