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).write a balanced chemical equation, including physical state symbols, for the decomposition of solid calcium carbonate (caco_3) into solid calcium oxide and gaseous carbon dioxide. caco3 → cao + co2 suppose 18.0 l of carbon dioxide gas are produced by this reaction, at a temperature of 320.0 degree c and pressure of exactly 1-atm. calculate the mass calcium carbonate that must have reacted. be sure your answer has the correct number of significant digits.

The mass of calcium carbonate that must be reacted is 37 grams.

Explanation:

The balanced chemical equation for the decomposition of calcium carbonate follows:

To calculate the moles of carbon dioxide gas, we use the equation given by ideal gas, which follows:

where,

P = pressure of carbon dioxide = 1.00 atm

V = Volume of carbon dioxide = 18.0 L

T = Temperature of the mixture =

R = Gas constant =

n = number of moles of carbon dioxide = ?

Putting values in above equation, we get:

By Stoichiometry of the reaction:

1 mole of carbon dioxide is produced from 1 mole of calcium carbonate

So, 0.370 moles of carbon dioxide will be produced from = of calcium carbonate

To calculate the mass from given number of moles, we use the equation:

Molar mass of calcium carbonate = 100 g/mol

Moles of calcium carbonate = 0.370 moles

Putting values in above equation, we get:

Hence, the mass of calcium carbonate that must be reacted is 37 grams.