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Verified Answer :

Number of C atoms = moles of C atoms x 6.02x 10^23. Therefore moles of C atoms = 1.75x10^24 / 6.02x 10^23 = 2.90 moles

Answer: The number of moles of carbon is 2.90 mol.

Explanation:

We are given:

Number of atoms of carbon = \(1.75\times 10^{24}\)

According to mole concept:

\(6.022\time 10^{23}\) number of atoms are contained in 1 mole of an element.

So, \(1.75\times 10^{24}\) number of atoms will be contained in = \(\frac{1}{6.022\times 10^{23}}\times 1.75\times 10^{24}=2.90mol\) of carbon.

Hence, the number of moles of carbon is 2.90 mol.