During an investigation a scientist heated 2.76 g of silver carbonate till it decomposed to leave a silver residue. the total mass of the silver residue formed was 2.16 g. does the law of conservation of mass hold true in this case? use complete sentences to justify your answer based on numerical calculations.

The equation that shows the decomposition of silver carbonate is as follows:
2Ag2CO3 > 4Ag + 2CO2 + O2

From the periodic table:
mass of silver = 107.8682 grams
mass of carbon = 12 grams
mass of oxygen = 16 grams
molar mass of Ag2CO3 = 2(107.8682) + 12 + 3(16) = 275.7364 grams

From the balanced equation above:
2(275.7362) = 551.4728 grams of Ag2CO3 produces 4(107.8682) = 431.4728 grams of Ag

Therefore, to know the mass of Ag produced from 2.76 grams of Ag2CO3, we will simply use cross multiplication as follows:
mass of Ag produced = (2.76*431.4728) / (551.4728) = 2.16 grams

Based on the above calculations, the law of conservation of mass is applied.