7.3k views
5 votes
The Ozone (O3) ambient air quality standard is 0.070ppmv express this concentration in mgO3/L−Air 4. Compute the molar volume of air at 25∘C and 1 atm pressure. Express your answer in L/mol

1 Answer

4 votes

Answer:

From the search results, I found the following question:

"The Ozone (O3) ambient air quality standard is 0.070ppmv express this concentration in mgO3/L−Air 4. Compute the molar volume of air at 25∘C and 1 atm pressure. Express your answer in L/mol."

To answer the first part of the question, we first need to convert the concentration of ozone from parts per million by volume (ppmv) to milligrams/m^3. We can do this using the molar mass of O3 and the ideal gas law:

Concentration of O3 (mg/m^3) = (0.070 ppmv) x (molecular weight of O3 / 24.45 L/mole) x (1 atm / 101.325 kPa) x (273.15 K / (273.15 + 25) K)

Using the molecular weight of O3 (48 g/mol) and simplifying the units, we get:

Concentration of O3 (mg/m^3) = 0.0277 mg/m^3

Therefore, the concentration of O3 in mgO3/L-Air is also 0.0277 mgO3/L-Air.

To compute the molar volume of air at 25°C and 1 atm pressure, we can use the ideal gas law:

PV = nRT

where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature in Kelvin.

At 25°C, which is 298 K, and 1 atm pressure, we have:

V = (nRT) / P

The molar volume of air will be the volume occupied by one mole of gas, so we can set n = 1 mole. The gas constant R is 0.08206 L·atm/(mol·K). Substituting the values we get:

V = (1 mole x 0.08206 L·atm/(mol·K) x 298 K) / 1 atm = 24.45 L/mol

Therefore, the molar volume of air at 25°C and 1 atm pressure is 24.45 L/mol.

Step-by-step explanation:

User Tom Naessens
by
8.1k points