Equilibrium of Chemistry!

Chemistry Level 5

It's Always better to generalise to check concepts

Let's take a Compound A A in a container . Let's take 10 M o l a r 10 \quad Molar A A in 1 L 1 \quad L solution.

We know that the following reaction occurs in the container -

A B + C A \xrightleftharpoons[]{} B + C K e q 1 = 0.250 \qquad {K}_{eq1} = 0.250

B 2 D B \xrightleftharpoons[]{} 2D K e q 2 = 4 \quad \qquad {K}_{eq2} = 4

You are also given Molecular weight of A A as

M o l A = 10 g r a m s {Mol}_{A} = 10 \quad grams

What is the Final Vapour Density of the solution ?

Your Answer can be represented as V . D = M N V.D = \frac {M}{N} where M & N are coprime positive integers.

Enter your Answer as M × N M \times N


This is a part of my well-known set Aniket's Chemistry Challenges .


The answer is 650.

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1 solution

Aniket Sanghi
Oct 13, 2016

Did You like the Question ? How is my creativity rated ? (Its Original) :)

I have adjusted the values so as to get only one positive value of y y

You will get equation as 4 y 4 + 4 y 3 + y 2 + y 10 = 0 = ( y 1 ) ( 4 y 3 + 8 y 2 + 9 y + 10 ) 4 y^4 + 4 y^3 + y^2 + y - 10 = 0 = (y - 1)(4 y^3 + 8 y^2 + 9 y + 10 )

We can see that the equation has only one positive real root and that is 1 . Others will be either negative or imaginary. :)

Full marks to ur creativity for both making the equation+question and using that samsung receipt well .

A Former Brilliant Member - 4 years, 7 months ago

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What's Samsung receipt?

Aniket Sanghi - 4 years, 2 months ago

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the back of page on which u have done this Q :P

A Former Brilliant Member - 4 years, 2 months ago

Amazing question aniket, i was wondering why mass of B is not given, then i assumed it x and it canceled out! Amazing work full marks!!

Raunak Agrawal - 4 years, 2 months ago

Awesome one!

Richeek Das - 2 years, 5 months ago

Nice q The algebra part was tough

Nitish Deshpande - 4 years, 7 months ago

This is 1 type of q where the vant hoff factor is a bit different from other colligative properties

Nitish Deshpande - 4 years, 7 months ago

Grt question!!I too did the same way.Quite apparent.

Spandan Senapati - 4 years, 3 months ago

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