Ancient Romans built often out of bricks and mortar. A key ingredient in their m
ID: 1049775 • Letter: A
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). 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. CaCO_3 rightrarrow CaO + CO_2 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.Explanation / Answer
1.CaCO3(s) -----> CaO(s) + CO2(g)
2.in case of CO2(g) ,V=18L,P=1atm,t=320 oC ,That is in kelvin is = 320+273 = 593K,R =0.0821atm lit mole-1 K-1,
moleculae weight is 44, then from ideal gas equation PV =nRT.
PV =(w/MW) RT
w=(PV*MW)/RT
=(1*18*44)/0.0821*593
= 16.26 grams.
from the reaction, one mole of CaCO3 decompose to give one mole of CO2.
THAT IS 100gms of CaCO3 decompose to give 44 grams of CO2.
but according to the problem, howmany grams of CaCO3 decompose to give 16,26 grams CO2.
mass of calcium carbonate is =(16.26/44) *100 = 36.95 approximately 37 grams.