Question

If one mole of carbon atom weighs $12g$, what is the mass in grams of $1$ atom of carbon?

• A. $1.993\times {10}^{-23}g$
• B. $1.993\times {10}^{23}g$
• C. $1.993\times {10}^{-24}g$
• D. $1.993\times {10}^{24}g$

Answer 1

The correct option is A $1.993\times {10}^{-23}g$

Mass of one mole of carbon atom $=12g$

A mole of carbon contains $6.022\times 1023$ atoms.

Hence, mass of $6.022\times 1023$ atoms of carbon $=12g$

Mass of $1$ atom of carbon $=\frac{12}{6.022\times {10}^{23}}=1.993\times {10}^{-23}g$

Hence, the correct option is $\text{A}$