Find molarity of a solution prepared by dissolving 50g of NaOH in 100ml water
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Given:-
- Mass of NaoH (W)= 50g
- Molar mass of NaoH(M) = 40 g
Volume of water(V') = 100 ml
In order to convert mL into L simply divide by 1000
- Volume of water(V') = 0.1 L
To find :-
- Molarity
How to solve :-
- First step: to find the moles of solute (NaOH )
- Second step: to find the volume of solute in the solution ( in L)
- Third step : To find the total volume of the solution
- Fourth step : To substitute the values in the formula
Solution :-
First Step :-
⟹ n = W / M
here ,
- n = moles
- W = mass of NaOH
- M = molar of NaOH
⟹ n = 50 / 40
⟹ n = 1 .25
Second Step :
we know that ,
⟹ n = V / 22.4 L
here ,
- n = moles of NaOH
- V = volume of NaOH
- V(STP) = 22.4 L = Volume at STP
⟹ 1.25 = V / 22.4
⟹ V = 1.25 x 22.4
⟹ V = 28 L
Third step :
⟹ Total volume ( V " ) = V + V' = 0.1 + 22.4 = 22.5 L
Fourth Step :
Molarity is given by the formula ,
⟹ M = n / V "
here ,
- M = Molarity
- n = moles of NaOH
- V" = volume of solution
⟹ M = 1.25 / 22.5
⟹ M = 0.06 M
The molarity of the solution is 0.06 M
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