Answer:
73.3 ml of carbon are needed
Explanation:
To determine the volume of carbon needed, the formula for density can be used. The formula for density is
Density = mass ÷ volume
Although the density (2.26 g/ml) was provided in the question, but the mass was not provided.
The mass can be derived from the formula for number of moles shown below.
number of moles = mass ÷ molar mass
number of moles of carbon (provided in the question) is 13.8 moles and the molar mass of carbon is 12 g/mol hence
13.8 = mass ÷ 12
mass = 13.8 × 12
mass = 165.6g
If the mass of the carbon needed for the reaction is 165.6g and the density is 2.26 g/ml, the volume needed will be
Density = mass ÷ volume
2.26 = 165.6 ÷ volume
volume = 165.6 ÷ 2.26
volume = 73.3 ml
73.3 ml of carbon are needed
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