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Calculate the molarity of each of the following solutions: (a) 30 g of Co(NO3)2.6H2O in 4.3 L of solution (b) 30 mL of 0.5 M H2SO4 diluted to 500 mL.

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Calculate the molarity of each of the following solutions:

(a) 30 g of Co(NO3)2.6H2O in 4.3 L of solution

(b) 30 mL of 0.5 M H2SO4 diluted to 500 mL.

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Molarity is given by

Molarity = \(\frac{Moles\;of\;solute}{Volume\;of\;solution\;in\;litre}\)

(a) Molar mass of Co(NO3)2.6H2O

= 59 + 2 (14 + 3 × 16) + 6 × 18

= 291 g mol-1

∴ Moles of Co(NO3)2.6H2O = \(\frac{30}{291}\)mol

= 0.103 mol

Therefore, molarity = \(\frac{0.103mol}{4.3L}\)

= 0.023 M

(b) Number of moles present in 1000 mL of 0.5 M H2SO4 = 0.5 mol

∴ Number of moles present in 30 mL of 0.5 M H2SO4 = \(\frac{0.5 \times 30}{1000}\)mol

= 0.015 mol

Therefore, molarity = \(\frac{0.015}{0.5L}\)mol

= 0.03 M

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