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A liquid mixture of water and alcohol has density off 900 kg per metre cubic find the mass of alcohol in one litre of the mixture. .

Sagot :

The mass of alcohol in one litre of the mixture is 371g

Calculation and Explanation

Let us assume the alcohol to be ethyl alcohol (C2H5OH) with the temperature being 20°C.

Given we have assumed this, the density of water and ethyl alcohol becomes,

ρa=789.45g/L

ρw=998.23gL

and then it is given that the density of the solution is ρs=900gL

We know that,

ρ= m/v

⇒ m=ρv

⇒m=ρs Vs = 900g

Then we see that the sum of the mass of ethyl alcohol and water is the same as 900g

But we are interested in finding the values keeping the volume as 1L

hence, Va +Vw =1

⇒ Vw = 1-Va

Then we know that

900g=Va(789.45g/L)+(1−Va)(998.23g/L)

so solving the equation for ethyl alcohol, we have.

Va = 0.4705 L

then to get the mass of ethyl alcohol,

ma= ρaVa

ma= (789.45g/L) (0.4705L)

ma= 371g

Thus, the mass of alcohol (ethyl alcohol) as calculated is 371g.

To know more about Ethyl alcohol, visit:

https://brainly.com/question/8950356

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