Math, asked by Anonymous, 3 months ago

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On mixing 15 ml of ethyl alcohol density 0.792 g/ml with 15 ml of pure water at 4°c, the resulting solution is found to have a density 0.924g/ml.The % contraction in volume is:-​

Answers

Answered by Anonymous
207

Given:

  • On mixing 15 ml of ethyl alcohol density 0.792 g/ml with 15 ml of pure water at 4°c, the resulting solution is found to have a density 0.924g/ml.

To find:

  • The % contraction in volume.

Solution:

We know that,

\: \: \: \: \: \: \: \: \bullet\bf\: \: \: {Mass = Volume \times Density}

Therefore,

→ Mass of alcohol = 15 × 0.792

→ Mass of alcohol = 11.88 g

Similarly,

→ Mass of water = 15 × 1

→ Mass of water = 15 g

Now,

→ Total mass = 11.88 + 15

→ Total mass = 26.88 g

Using Formula

\bf\to{Volume\: of\: Solution = \dfrac{Mass\: of\: component}{Density\: of\: solution}}

\tt\longmapsto{Volume\: of\: solution = \dfrac{26.88}{0.924}}

\tt\longmapsto{Volume\: of\: solution = 29.0909\: mL}

Now,

  • Expected volume = (15 + 15)mL
  • Expected volume = 30 mL

Finding the difference

→ Difference = (30 - 29.0909) mL

→ Difference = 0.909 mL

As we know that,

\small\bf{\to{\%\: concentration\: in \: volume = \dfrac{Difference}{Expected\: volume} \times 100}}

  • Substituting values

\tt\longmapsto{\%\: concentration\: in \: volume = \dfrac{0.909}{30} \times 100}

\tt\longmapsto{\%\: concentration\: in \: volume = 0.0303 \times 100}

\bf\longmapsto{\%\: concentration\: in \: volume = 3.03\: \%}

Hence,

  • % concentration in volume is 3.03%.

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Answered by BrainIyInfo
11

Given :-

On mixing 15 ml of ethyl alcohol density 0.792 g/ml with 15 ml of pure water at 4°c, the resulting solution is found to have a density 0.924g/ml.The % contraction in volume is:-

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Solution :-

As we know that,

Mass = Volume × Density

  • Mass of alcohol = 15 × 0.792
  • Mass of alcohol = 11.88 g

Similarly,

  • Mass of water = 15 × 1

  • Mass of water = 15 g

Now,

  • Total mass = 11.88 + 15

  • Total mass = 26.88 g

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