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One major industrial source of the greenhouse gas carbon dioxide is the heating of limestone, CaCO3, to produce quicklime, CaO. This reaction is used in a range of industries. The equation for the decomposition of limestone is: CaCO3(s) → CaO(s) + CO2(g)

a) What mass of quicklime will be produced when 10.0 tonnes of limestone is heated?

  • 1 tonne = 106 g
  • 10.0 tonne = 107 g
  • n(CaCO3) = 99900.0999mol
    ...

So I used basic stoichiometry to find out that mass is 5.60 tonnes

b) What volume of carbon dioxide gas at 500 degrees Celsius and 102 kPa will be produced in the process?

V=?, T = 500°C = 773K, P = 102kPa

V = nRT/P
= 99900.0999 x 8.31 x 773 / 102
= 6291385.085 L
= 6.29 x 103 m3

The answer says 6.29 x 104 m3

Can someone please confirm this answer?

Thanks

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1 Answer

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I think I agree that you are correct, and the answer is wrong. Your calculations look right, and I also tried them myself, and got the same answer.

Your conversion from L to m3 is correct (divide by 1000).

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Apparently the answer to part (a) was 56.0 tonnes, and the question meant to say 100 tonnes not 10.0 tonnes! Makes sense now! – Collin Li Jan 22 at 5:44

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