Single Choice

A cold drink bottle contains $$200$$ mL liquid in which $$CO_2$$ is $$0.1$$ molar. Considering $$CO_2$$ as an ideal gas, the volume of the dissolved $$CO_2$$ at S.T.P is:

A$$22.4$$ L
B$$0.224$$ L
C$$2.24$$ L
D$$0.448$$ L
Correct Answer

Solution

Molarity is defined as a number of moles of solute dissolved per litre of the solution.

No. of moles = Molarity $$\times$$ Volume in L

Volume $$= 200\ mL = 0.2\ L$$ ($$1L=1000mL$$)

No. of moles $$=0.1M \times 0.2L = 0.02$$ moles

Acording to Avagadro's law, $$1\ mole$$ of $$CO_2$$ occupy $$22.4\ L$$ at STP.

0.02 moles of $$CO_2$$ occupy $$= \dfrac{22.4}{1} \times 0.02L = 0.448L$$ at STP.

Hence, option D is correct.

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