Solution, Solute and Solvent Problem 5

Chemistry Level 1

At 2 0 C 20^\circ \text{C} , the solubility of N a C l \ce{NaCl} is 36 g / 100 g 36\text{ g}/100\text{ g} water. If I use 40 g 40\text{ g} of N a C l \ce{NaCl} to produce a saturated N a C l \ce{NaCl} solution, how much water do I need in grams ?


You may refer Chemistry - Solution, Solute and Solvent Note.
99 g 99\text{ g} 111 g 111\text{ g} 133 g 133\text{ g} 136 g 136\text{ g}

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5 solutions

Daniel Lim
Jan 28, 2014

The ratio for N a C l NaCl to dissolve in water is 36 g : 100 g 36g:100g water

So we can use the same ratio to solve this problem

We can both sides by 36 36 and multiply both sides by 40 40

36 36 × 40 : 100 36 × 40 \frac{36}{36}\times 40:\frac{100}{36}\times 40

And we can get 40 g : 111.1111 g 40g:111.1111g

Rounded to the nearest ones is 111 g \boxed{111g}

Anish Puthuraya
Jan 22, 2014

Solubility of N a C l NaCl in x g xg of water = 36 100 x g = \frac{36}{100} x g

Now, given is that 40 g 40g of N a C l NaCl is used.

Hence,
36 100 x = 40 g \frac{36}{100} x = 40g
x = 111.11 g 111 g \Rightarrow x = 111.11g \approx \boxed{111 g}

Manisha Garg
Nov 24, 2015

I did by unitary system, :)

36gm of salt is dissolved in 100 gm of water

1 gm of salt is dissolved in 100/36 gm of water

Therefore, 40 gm of salt will be dissolved in 100X40/36 = 111.11gm of water

Vikram Venkat
Mar 5, 2015

Let NaCl be X and Water be Y. Then 36X= 100Y (saturated solution). Then, 36X x 40/36 = 100Y x 40/36 ( new saturation point). Hence, 40X= 111Y Therefore, it is 111g.

36/100 = 40/x. Thus, x = 40/36 100 = 10 11.111111... = 111.1111111 = 111(approx.)

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