The Student Room Group

Volume

17 It is known that droplets of a certain chemical have a volume of 0.02 cm3 (rounded to the nearest 0.01 cm3).
What is the maximum number of droplets of the chemical that can be mixed with 10 cm3 of water (rounded to the nearest 10 cm3) if the resulting solution must not have more than 1 % of the
chemical in?

A 2
B 4
C 5
D 6
E 10
Original post by Peanut247
17 It is known that droplets of a certain chemical have a volume of 0.02 cm3 (rounded to the nearest 0.01 cm3).
What is the maximum number of droplets of the chemical that can be mixed with 10 cm3 of water (rounded to the nearest 10 cm3) if the resulting solution must not have more than 1 % of the
chemical in?

A 2
B 4
C 5
D 6
E 10


What percentage of the resulting solution is water? You know that that percentage is 10 cm3.
Reply 2
Original post by tiny hobbit
What percentage of the resulting solution is water? You know that that percentage is 10 cm3.


99%
Original post by Peanut247
99%


So if 99% is 10 cm3, what is 1%?
Reply 4
Original post by tiny hobbit
So if 99% is 10 cm3, what is 1%?


10/99
Original post by Peanut247
10/99


so that is the maximum volume of your droplets of chemical.
Original post by tiny hobbit
so that is the maximum volume of your droplets of chemical.
I think you may be missing the significance of the rounding comments, although I do wonder if the bit I've emphasized below is accurate:


Original post by Peanut247
17 It is known that droplets of a certain chemical have a volume of 0.02 cm3 (rounded to the nearest 0.01 cm3).
What is the maximum number of droplets of the chemical that can be mixed with 10 cm3 of water (rounded to the nearest 10 cm3)
Original post by DFranklin
I think you may be missing the significance of the rounding comments, although I do wonder if the bit I've emphasized below is accurate:


The first rounding comment doesn't change what I said, it just means that, if the droplets are at the small end of the range, more droplets can make up the volume of chemical.

The second rounding comment made no sense on my first few readings of it, as I could not see how the "number of droplets" could be rounded to the nearest 10 cm3.

On re-reading it for the umpteenth time, I now realise that it is the volume of water that is rounded to the nearest 10 cm3, which is odd, as you say. It appears to mean that the volume of water is somewhere between 5 and 15 cm3. To get the maximum number of droplets, we need to work with the largest volume of water (15 cm3) and small droplets of chemical.
Reply 8
Original post by tiny hobbit
The first rounding comment doesn't change what I said, it just means that, if the droplets are at the small end of the range, more droplets can make up the volume of chemical.

The second rounding comment made no sense on my first few readings of it, as I could not see how the "number of droplets" could be rounded to the nearest 10 cm3.

On re-reading it for the umpteenth time, I now realise that it is the volume of water that is rounded to the nearest 10 cm3, which is odd, as you say. It appears to mean that the volume of water is somewhere between 5 and 15 cm3. To get the maximum number of droplets, we need to work with the largest volume of water (15 cm3) and small droplets of chemical.


OK so the largest volume is 15cm and the smallest droplet should be 1.5cm. What next?
Original post by Peanut247
OK so the largest volume is 15cm and the smallest droplet should be 1.5cm. What next?


Do the sums again with 99% is 15 cm3, instead of 10 cm3.
The smallest droplet should be 0.015 cm3.
Reply 10
Original post by tiny hobbit
Do the sums again with 99% is 15 cm3, instead of 10 cm3.
The smallest droplet should be 0.015 cm3.


Whoops my bad.
So 1% is 15/99
So the number of drops must not exceed the value of 15/99cm3 which is around 0.15?
Original post by Peanut247
Whoops my bad.
So 1% is 15/99
So the number of drops must not exceed the value of 15/99cm3 which is around 0.15?


Assuming that you mean that the total volume of the drops must not exceed 0.15 cm3, yes.

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