Unit Conversion of CO Concentration in Basement to Micro-gram/m^3

[saructk]

Homework Statement

The air near a water heater in the basement of an old home is measured for carbon monoxide (CO) and found to contain 0.1% by volume CO at 22*C and 1 atm. Express the CO concentration in the basement in micro-gram/m^3 .

Homework Equations

PV=nRT
P = absolute pressure (atm); V = volume (m3 ); n = mass (mole); R = ideal gas constant = 0.082056 L atm K−1 mol−1 ; and T = absolute temperature (K).

The Attempt at a Solution

The answer said that 0.1% = 10^−3 ppm = 10^3 L CO/ 10^6 L air. But in the book it also has equation to express that {% by volume} x 10000 =ppm. I don't know which one is correct and how to use them.

Beside, after I have calculated the gram of CO, how to relate it with the micro-gram/m^3 ?
thank you.

 

[SteamKing]

Homework Statement

The air near a water heater in the basement of an old home is measured for carbon monoxide (CO) and found to contain 0.1% by volume CO at 22*C and 1 atm. Express the CO concentration in the basement in micro-gram/m^3 .

Homework Equations

PV=nRT
P = absolute pressure (atm); V = volume (m3 ); n = mass (mole); R = ideal gas constant = 0.082056 L atm K−1 mol−1 ; and T = absolute temperature (K).

The Attempt at a Solution

The answer said that 0.1% = 10^−3 ppm = 10^3 L CO/ 10^6 L air. But in the book it also has equation to express that {% by volume} x 10000 =ppm. I don't know which one is correct and how to use them.

There's a typo here, either from your textbook or introduced by copying from it.

1 ppm = 1 / 10⁶

0.1% = 10³ ppm = 1000 ppm, which is the same as saying that 0.1% CO by volume = 1000 L of CO in 10⁶ L of air

If 0.1% = 1000 ppm, then how many ppm is 1% ?

Beside, after I have calculated the gram of CO, how to relate it with the micro-gram/m^3 ?
thank you.

Take 1 m³ of air at 22°C and P = 1 atm. How many μg of CO are in that cubic meter if the concentration is 0.1% by volume?