MHT CET · Chemistry · States of Matter

A cold drink bottle contains $200 m L$ liquid in which $C O_{2}$ is $0.1$ molar $.$ Considering $C O_{2}$ as an ideal gas the volume of the dissolved $C O_{2}$ at S.T.P is

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

Verified Solution

Answer & Solution

Correct Answer

(D) $0.448 L$

Step-by-step Solution

Detailed explanation

Moles of

C O_{2}

dissolved

= M \times V (L)

= 0.1 \times \frac{200}{1000}

= 0.02

Volume of

C O_{2}

at STP

= 0.02 \times 22.4 L

= 0.448 L

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A cold drink bottle contains 200mL liquid in which CO2 is 0.1 molar . Considering CO2 as an ideal gas the volume of the dissolved CO2 at S.T.P is

Step-by-step Solution

A cold drink bottle contains $200 m L$ liquid in which $C O_{2}$ is $0.1$ molar $.$ Considering $C O_{2}$ as an ideal gas the volume of the dissolved $C O_{2}$ at S.T.P is