A cup of cocoa is left on the counter. Which best describes how its temperature changes? a) the heat leaves the cup of cocoa b)
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Answer:
a) CO₂: <em>21,9%; </em>CO: <em>7,0%; </em>CH₄: <em>18,2%; </em>H₂: <em>0,8%; </em>N₂: <em>52,1%</em>
b) 24,09 g/mol
Explanation:
a) It is posible to obtain the composition of the gas mixture in weight% using molecular mass of each compound, thus:
12% CO₂× = <em>528,1 g</em>
6% CO× = <em>168,1 g</em>
27,3% CH₄× = <em>438,2 g</em>
9,9% H₂× = <em>20,0 g</em>
44,8% N₂× = <em>1254,4 g</em>
The total mass of the gas mixture is:
528,1g + 168,1g + 438,2g + 20,0g + 1254,4g = <em>2408,8 g</em>
Thus composition of the gas mixture in weight% is:
CO₂: ×100 = <em>21,9%</em>
CO: ×100 = <em>7,0%</em>
CH₄: ×100 = <em>18,2%</em>
H₂: ×100 = <em>0,8%</em>
N₂: ×100 = <em>52,1%</em>
b) The average molecular weight of the gas mixture is determined with mole % composition, thus:
0,12×44,01g/mol + 0,06×28,01g/mol + 0,273×16,05g/mol + 0,099×2,02g/mol + 0,448×28g/mol = <em>24,09 g/mol</em>
I hope it helps!