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Question

Chemistry Question on Thermodynamics

The right option for the mass of CO2 produced by heating 20g of 20% pure limestone is
(Atomic mass of Ca= 40)
CaCO3 reaction

A

1.76 g

B

2.64 g

C

1.32 g

D

1.12 g

Answer

1.76 g

Explanation

Solution

Molecular mass of CaCO3 = 40+12+3x16 = 100 g/mol
The limestone is 20% pure, which means only 20% of it is calcium carbonate.
Moles of CaCO3 = Mass of CaCO3Molecular mass of CaCO3\frac {Mass\ of\ CaCO_3}{Molecular\ mass \ of\ CaCO_3 }= 20g×0.20100 g/mol\frac {20 g \times 0.20}{100 \ g/mol} = 0.04 moles
Determine the moles of CO2 produced. From the balanced chemical equation, 1 mole of CaCO3 produces 1 mole of CO2. The molar ratio of CaCO3 to CO2 is 1:1.
Therefore, moles of CO2 produced = moles of CaCO3 = 0.04 moles
Molecular mass of CO2 = 12+2x16 = 44 g/mol
Mass of CO2 produced = (moles of CO2) x (molecular mass of CO2) = 0.04 moles x 44 g/mol = 1.76 g
So, the correct option is (A): 1.76 g