Calculate the molar mass of the following:

(i) $H_{2} O$

(ii) ${C O}_{2}$

(iii) $C H_{4}$

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Solution

(i) Molar mass of water $(H_{2} O)$

Atomic mass of $H = 1 u$
Atomic mass of $O = 16 u$

$M o l a r m a s s o f w a t e r (H_{2} O) = (2 \times a t o m i c m a s s o f H) + (1 \times a t o m i c m a s s o f O)$ $= (2 \times 1) + (1 \times 16) = 18 g / m o l$

(ii) Molar mass of carbon dioxide $(C O_{2})$

Atomic mass of $C = 12 u$
Atomic mass of $O = 16 u$

$M o l a r m a s s o f (C O_{2}) = (1 \times a t o m i c m a s s o f C) + (2 \times a t o m i c m a s s o f O)$ $= (1 \times 12) + (2 \times 16) = 44 g / m o l$

(iii) Molar mass of methane $(C H_{4})$

Atomic mass of $C = 12 u$
Atomic mass of $H = 1 u$

$M o l a r m a s s o f m e t h a n e (C H_{4}) = (1 \times a t o m i c m a s s o f C) + (4 \times a t o m i c m a s s o f H)$ $= (1 \times 12) + (4 \times 1) = 16 g / m o l$

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