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A new grill has a mass of 30.0 kg. you put 1.5 kg of charcoal in the grill. you burn all the charcoal and the grill has a mass of 30.0 kg. what is the mass in kg of the gases given off? (assume that the charcoal is pure carbon solid and that it burns completely in oxygen).

User Tim Kelly
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The reaction for burning of charcoal or complete combustion is as follows:


C(s)+O_(2)(g)\rightarrow CO_(2)(g)

From the above balanced reaction, 1 mole of carbon releases 1 mole of
CO_(2) gas.

Converting mass of charcoal into moles as follows:


n=(m)/(M)

Molar mass of pure carbon is 12 g/mol thus,


n=(1.5* 10^(3) g)/(12 g/mol)=125mol

The same moles of
CO_(2) is released. Converting these moles into mass as follows:

m=n×M

Molar mass of
CO_(2) is 44 g/mol thus,


m=125mol* 44 g/mol=5.5* 10^(3)g

Converting mass into kg,


1g=10^(-3)kg

Thus, total mass of gas released is 5.5 kg.

User Bardzusny
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