what is the percent (m/m) of argon gas in a mixture containing 45.0 grams of argon gas and 85.0 grams of helium gas
(mass Ar/total mass)*100 = ?
To find the percent (m/m) of argon gas in the mixture, you need to calculate the mass of argon gas relative to the total mass of the mixture and then express it as a percentage.
The first step is to calculate the total mass of the mixture. Add the mass of argon gas and the mass of helium gas together:
Total mass = mass of argon gas + mass of helium gas
Total mass = 45.0 grams + 85.0 grams
Total mass = 130.0 grams
Next, calculate the mass fraction of argon gas in the mixture. Divide the mass of argon gas by the total mass of the mixture:
Mass fraction (m/m) of argon gas = mass of argon gas / total mass of the mixture
Mass fraction (m/m) of argon gas = 45.0 grams / 130.0 grams
Mass fraction (m/m) of argon gas ≈ 0.346
Finally, convert the mass fraction to a percentage by multiplying it by 100:
Percent (m/m) of argon gas = mass fraction (m/m) of argon gas × 100
Percent (m/m) of argon gas ≈ 0.346 × 100
Percent (m/m) of argon gas ≈ 34.6%
Therefore, the percent (m/m) of argon gas in the mixture is approximately 34.6%.