Question

How many atoms in total are present in $1 \,kg$ of sugar?

• A. $7.92\times10^{25}$ atoms
• B. $6\times10^{23}$ atoms
• C. $6.022\times10^{25}$ atoms
• D. $1000$ atoms

Answer 1

Answer: (A)

One molecule of sugar $(C_{12}H_{22}O_{11}) = 45$ atoms
Number of moles of sugar $ = \frac{1000}{342} = 2.92$
Number of molecules $= 2.92 \times 6.023\times 10^{23}$
$ = 17.60\times 10^{23}$ molecules
Number of atoms $= 45 \times 17.60 \times 10^{23}$
$ = 7.92 \times 10^{25}$ atoms