Question

a leak in the air conditioning system of an older car releases 69 g of cf₂cl₂ per month.
part a
how much cl does this car emit into the atmosphere each year?
express your answer in grams to two significant figures.
mass = g cl

Explanation:

Step1: Calculate molar mass of \(CF_2Cl_2\)

Molar mass of \(C = 12.01\space g/mol\), \(F=19.00\space g/mol\), \(Cl = 35.45\space g/mol\).
\(M(CF_2Cl_2)=12.01+(2\times19.00)+(2\times35.45)=120.91\space g/mol\)

Step2: Find mass of \(Cl\) in one mole of \(CF_2Cl_2\)

Mass of \(Cl\) in \(CF_2Cl_2\): \(2\times35.45 = 70.90\space g\)

Step3: Calculate mass of \(Cl\) per month

Mass of \(CF_2Cl_2\) per month \(m_{CF_2Cl_2}=69\space g\)
Mass of \(Cl\) per month \(m_{Cl - month}=\frac{70.90}{120.91}\times69\space g\)

Step4: Calculate mass of \(Cl\) per year

Since there are 12 months in a year, \(m_{Cl - year}=12\times\frac{70.90}{120.91}\times69\space g\)

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Answer:

\(490\space g\)