A leak in the air conditioning system of an office building releases 12 kg of CHF2Cl per month. If the leak continues, how many kilograms of Cl are emitted into the atmosphere each year?

Solution 113P

Here, we are going to calculate the mass of Cl emitted by the air conditioning system into the atmosphere every year.

Step 1:

Molar mass of CHF2Cl = (1 x atomic mass of C) + (1 x atomic mass of H) + (2 x atomic mass of F) + (1 x atomic mass of Cl)

= (1 x 12.0107) + (1 x 1.0079) + (2 x 18.9984) + (1 x 35.453)

= 12.0107 + 1.0079 + 37.9968 + 35.453

= 86.4684 g/mol

Step 2:

Now, mass percentage of Cl in CHF2Cl = (35.453 / 86.4684) x 100

= 41 %

I.e., in one kg of CHF2Cl, (41/100 = 0.41) kg of Cl is present.

Thus, in 12 kg of CHF2Cl, amount of Cl present = 0.41 x 12 = 4.92 kg.