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General solution of

$cos\theta+cos2\theta+cos3\theta=1/4$

If the concentration of H₃O⁺ is 10^-6.Calculate K_w?

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If a, b, c and k are constant quantities

and alpha , beta and gama are variable

subjects to the relation atan alpha + b

tan beta + c tan gama=k, find the

minimum value of tan square alpha+tan

square beta + tan square gama.

If a and b are positive quantities and a

b,and y=asec

-btan

, then prove that its second order derivative will be positive.

The pressure of the water vapour of a solution containing a nonvolatile solute is 2%below that of the pure water.Determine the molality of the solution

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From where can i download OR purchase solutions of R.C.MUKHERJEE

Thank u ashish please also give me answer of part (b).how was ur paper and from which books the questions were.

Ethanol and methanol form a solution that is very nearly ideal.The vapour pressure of ethanol is 44.5 mm and that of methanol is 88.7 mm at 20⁰C.

(a) Calculate the mole fraction of methanol and ethanol in a solution obtained by mixing 60g of ethanol and 40 g of methanol.

(b)Calculate the partial pressure and the total vapour pressure of this solution and the mole fraction of ethanol in the vapour.

Sir,please solve it because when i solved the answer was not matching to the actual ans.

I have much problem in R.C.M. but no one replies. is there anyone who have command on rcm

(20) An aqueous solution containing 20% by weight of liquid X (molar weight=140) has a vapour pressure 160 mm at 60⁰C.Calculate the vapour pressure of pure liquid 'X' if the vapour pressure of water is 150 mm at 60⁰C

Answer is 470.5mm