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 (CaCO) into solid calcium oxide and gaseous carbon dioxide. 2. Suppose 27.0 L of carbon dioxide gas are produced by this reaction, at a temperature of 230.0 °C and pressure of exactly 1 atm.Calculate the mass of calcium carbonate that must have reacted. Round your answer to 3 significant digits

Explanation / Answer

1)

balanced chemical equation :

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

2)

volume of CO2 = 27.0 L

temperature = 230 oC = 503 K

pressure = 1 atm

P V = n R T

1 x 27 = n x 0.0821 x 503

n = 0.6538 mol

moles of CO2 = 0.6538 mol

moles of CaCO3 = 0.6538 mol

mass of CaCO3 = 65.4 g

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