Question

Explain how you would find the number of moles of carbon in 4.5 kg of carbon.

Answer 1

In a simplified version, check the number carbon atoms present and multiply by its relative atomic mass. Later divide by the given mass (4.5 x 1000 = 4500g) and you’ll get the number of mole of carbon

Answer 2

4.5 kg of carbon contains 375 moles of carbon.

Number of moles:

It is the given weight of the substance divided by its molar mass.

$n=\frac{m}{M}$

Where 'n' is the number of moles, 'm' is the given mass and 'M' is the molar mass.

Now,

Given:

4.5kg of carbon

To find:

Number of moles=?

Molar mass of carbon= 12 g/mol

In order to calculate the number of moles we need to convert the given mass into grams.

1 kg= 1000g

4.5 kg=4500g

On substituting the values in the above formula we will get:

$n=\frac{4500 g}{12 g/mol}\\n=375\text{moles}$

Hence, 4.5 kg of carbon contains 375 moles of carbon.

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