First slide

Numericals involving moles, molecules and atoms

Question

Number of moles of ions produced in 8 litres of 0.1M of Potash alum are

Moderate

A

0.8
B

3.2
C

6.4
D

1.6

Solution

$K_{2} {SO}_{4} . {Al}_{2} {({SO}_{4})}_{3} . 24 H_{2} O . . . . Potash Alum; K_{2} {SO}_{4} . {Al}_{2} {({SO}_{4})}_{3} . 24 H_{2} O (1 mole) ⇌ 2 K^{+} (2 moles) + 2 {Al}^{3 +} (2 moles) + 4 {SO}_{4}^{2 -} (4 moles) + 24 H_{2} O; 1 mole ion (or) 1 gram ion = N_{A} ions = 6.023 \times 10^{23} ions; Total ions / mole = 8 N_{A}; K^{+} ions / mole = 2 N_{A}; {Al}^{3 +} ions / mole = 2 N_{A}; {SO}_{4}^{2 -} ions / mole = 4 N_{A}; 0.1 M = n \times \frac{1}{8}; n = 0.8 moles; 0.8 moles of salt = 6.4 N_{A} ions . . . 6.4 moles of ions; = 3.2 N_{A} {SO}_{4}^{2 -} ions . . . . 3.2 moles of ions; = 1.6 N_{A} K^{+} ions . . . . 1.6 moles of ions; = 1.6 N_{A} {Al}^{3 +} ions . . . . 1.6 moles of ions;$

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