Question

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

• A. $7.92 \times 10 ^ { 25 }$ atoms
• B. $6 \times 10 ^ { 23 }$ atoms
• C. $6.022 \times 10 ^ { 25 }$ atoms
• D. 1000atoms

Answer 1

Answer: (A)

$7.92 \times 10 ^ { 25 }$ atoms

Answer 2

: One molecule of sugar $\left( \mathrm { C } _ { 12 } \mathrm { H } _ { 22 } \mathrm { O } _ { 11 } \right)$=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

$= 45 \times 17.60 \times 10 ^ { 23 }$

= $7.92 \times 10 ^ { 23 }$atoms