Find out the molarity of water if its density is 1000 kg-m3 - JEE Chemistry Q-A

Molarity(M):It is given as the number of moles of solute per litre of solution.M=Number of moles(n)/Volume of solution(V)(in litre)The number of moles can be wr ...

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Standard XIII

Chemistry

Mole Fraction

Find out the ...

Question

Find out the molarity of water if its density is $1000 {Kgm}^{- 3}$ .

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Solution

Molarity $(M)$ :
It is given as the number of moles of solute per litre of solution.
$M = \frac{N u m b e r o f m o l e s (n)}{V o l u m e o f s o l u t i o n (V) (i n l i t r e)}$
The number of moles can be written as: $n = \frac{g i v e n m a s s (m)}{M o l a r M a s s (M)}$
$M = \frac{m}{M} \times \frac{1}{V} = \frac{1}{M} \times \frac{m}{V} = \frac{ρ}{M} = \frac{d e n s i t y}{M o l a r m a s s}$
So Molarity of water $=$ $\frac{1000}{18} = 55.55 M$

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Find out the molarity of water if its density is 1000Kgm-3.

Molarity(M):It is given as the number of moles of solute per litre of solution.M=Numberofmoles(n)Volumeofsolution(V)(inlitre)The number of moles can be written as: n=givenmass(m)MolarMass(M)M=mM×1V=1M×mV=ρM=densityMolarmassSo Molarity of water =100018=55.55M

Find out the molarity of water if its density is $1000 {Kgm}^{- 3}$ .