Ancient Romans built often out of bricks and mortar. A key ingredient in their m

Question

Ancient Romans built often out of bricks and mortar. A key ingredient in their mortar was quicklime (calcium oxide), which they produced by roasting limestone (calcium carbonate).

1. Write a balanced chemical equation, including physical state symbols, for the decomposition of solid calcium carbonate CaCO3 into solid calcium oxide and gaseous carbon dioxide.

2. Suppose 24.0L
of carbon dioxide gas are produced by this reaction, at a temperature of 270.0°c and pressure of exactly 1atm
. Calculate the mass of calcium carbonate that must have reacted. Round your answer to 3
significant digits. in grams

1. Write a balanced chemical equation, including physical state symbols, for the decomposition of solid calcium carbonate CaCO3 into solid calcium oxide and gaseous carbon dioxide.

2. Suppose 24.0L
of carbon dioxide gas are produced by this reaction, at a temperature of 270.0°c and pressure of exactly 1atm
. Calculate the mass of calcium carbonate that must have reacted. Round your answer to 3
significant digits. in grams

Explanation / Answer

CaCO3(s) -----------------> CaO(s) + CO2(g)

first calculate the moles of CO2 formed.

PV = nRT

n = (PV / RT)

n = (1.0 x 24 / 0.0821 x 543) = 24 / 44.58

n = 0.538

now according to balanced reaction.

1 mole CO2 produced by 100.09 g CaCO3

0.538 moles CO2 produced by 0.538 x 100.09 / 1 = 53.85 g

mass of CaCO3 reacted = 53.8 g

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