Question

Calculate the mass of calcium carbonate which decomposes to produce :
(1)50 g of calcium oxide and
(2)5 g of carbon dioxide.
(Atomic mass of Ca = 40,C = 12 and O = 16)

Answer 1

$$\begin{gathered} CaC{O}_3\to CaO+C{O}_2 \\ CaC{O}_{3}hasmolarmass=[40+12+3\times 16]=100g \\ CaOhasmolarmass=40+16=56g \\ C{O}_{2}hasmolarmass=12+2\times 16=44g \\ 1)100gofCaC{O}_{3}produce56gofCaO \\ 50gofCaC{O}_{3}produce=\frac{56}{100}\times 50=28gofCaO \\ 2)44gofC{O}_{2}isproducedfrom100gofCaC{O}_3 \\ 5gofcarbondioxideisproducedfrom=\frac{100}{44}\times 5=11.36gofCaC{O}_3 \end{gathered}$$