Question

A glass of juice contains 9 gm of glucose ($C_{6}H_{12}O_{6}$). How many atoms of each element (C, H and O) are there in the juice.

Answer 1

1 mole of ${ C }_{ 6 }{ H }_{ 12 }{ O }_{ 6 }$ contains $6.02\quad \times \quad { 10 }^{ 23 } molecules$

Molecular mass of ${ C }_{ 6 }{ H }_{ 12 }{ O }_{ 6 }$ = 180 g/mol

9 g of ${ C }_{ 6 }{ H }_{ 12 }{ O }_{ 6 }$ = ?

$Number\quad of\quad molecules\quad in\quad 9g\quad of\quad { C }_{ 6 }{ H }_{ 12 }{ O }_{ 6 }\quad =\quad \frac { 9\quad \times \quad 6.02\quad \times \quad { 10 }^{ 23 } }{ 180 } \quad =\quad 3.01\quad \times \quad { 10 }^{ 22 }\quad molecules$

$Carbon\quad atoms\quad in\quad 9\quad g\quad of\quad glucose\quad =\quad 6\quad \times \quad 3.01\quad \times { \quad 10 }^{ 22 }\\\\=\quad 18.06\quad \times \quad { 10 }^{ 22 }$ $Hydrogen\quad atoms\quad in\quad 9\quad g\quad of\quad glucose\quad =\quad 12\quad \times \quad 3.01\quad \times { \quad 10 }^{ 22 }\\\\=\quad 36.12\quad \times \quad { 10 }^{ 22 }\\ \\Oxygen\quad atoms\quad in\quad 9\quad g\quad of\quad glucose\quad =\quad 6\quad \times \quad 3.01\quad \times { \quad 10 }^{ 22 }\\\\=\quad 18.06\quad \times \quad { 10 }^{ 22 }\quad$