If a 60 ml of water contains 12% of chlorine, find the quantity of water that must be added in order to create an 8% chlorine solution.
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ɢɪᴠᴇɴ :
total quantity of water is 60 ml
contains 12% of chlorine
ᴛᴏ ғɪɴᴅ:
the quantity of water must be added in order to create a 8% chlorine
sᴏʟᴜᴛɪᴏɴ :
Let x ml of chlorine be present in water.
Then, \sf{\frac{12}{100} = \frac{x}{60}}
100
12
=
60
x
→ x = \sf{\frac{12}{100} × 60}
100
12
×60
→ x = 7.2 ml
Therefore, 7.2 ml is present in 60 ml of water.
In order for this 7.2 ml to constitute 8% of the solution, we need to add extra water. Let this be y ml.
Then, \sf{\frac{8}{100} = \frac{7.2}{y}}
100
8
=
y
7.2
→ y = 90 ml.
So in order to get a 8% chlorine solution, we need to add 90 - 60 = 30 ml of water.
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