Question

How many grams of ammonium carbonate are needed to decompose in order to produce 6.52 g of carbon dioxide

Answer 1

Solution:

The balanced equation for reaction of ammonium carbonate decomposition can be written as follows

(NH₄)₂CO₃ (s) → 2NH₃ (g) + CO₂ (g) + H₂O (g)

$\frac{m((NH_{4})_{2}CO_{3})}{M((NH_{4})_{2}CO_{3})}=\frac{m(CO_{2})}{M(CO_{2})}$

$m((NH_{4})_{2}CO_{3})=\frac{m(CO_{2})\cdot M((NH_{4})_{2}CO_{3})}{M(CO_{2})}$

$M((NH_{4})_{2}CO_{3})=2\cdot (1\cdot 14+4\cdot 1)+1\cdot12+3\cdot16=96\;amu$

$M(CO_{2})=1\cdot12+2\cdot16=44\;amu$

$m((NH_{4})_{2}CO_{3})=\frac{6.52\cdot 96}{44}\approx 14.2 \; g$

Answer:

14.2 g