First slide

Numericals involving moles, molecules and atoms

Question

Number of Potassium ions produced in 200ml of 0.5M of Potash alum are

Moderate

A

6.023 $\times$ 10²²
B

4.8184 $\times$ 10²³
C

2.4092 $\times$ 10²³
D

1.2046 $\times$ 10²³

Solution

$K_{2} {SO}_{4} . {Al}_{2} {({SO}_{4})}_{3} . 24 H_{2} O . . . . Potash Alum; K_{2} {SO}_{4} . {Al}_{2} {({SO}_{4})}_{3} . 24 H_{2} O (1 mole) ⇌ 2 K^{+} (2 moles) + 2 {Al}^{3 +} (2 moles) + 4 {SO}_{4}^{2 -} (4 moles) + 24 H_{2} O; 1 mole ion (or) 1 gram ion = N_{A} ions = 6.023 \times 10^{23} ions; Total ions / mole = 8 N_{A}; K^{+} ions / mole = 2 N_{A}; {Al}^{3 +} ions / mole = 2 N_{A}; {SO}_{4}^{2 -} ions / mole = 4 N_{A}; 0.5 M = n \times \frac{1000}{200}; n = 0.1 moles; 0.1 moles of salt = 0.8 N_{A} ions; = 0.4 N_{A} {SO}_{4}^{2 -} ions; = 0.2 N_{A} K^{+} ions; = 0.2 N_{A} {Al}^{3 +} ions;$

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