Answer :
40 drops of acid were added to water and the percentage of acid in acid solution is 0.166% given that scientist makes an acid solution by adding drops of acid to 1.2 L of water and final volume of the acid solution is 1.202 L, provided the volume of each drop is 0.05 mL. This can be obtained by finding volume of the acid added, then the number of acid drops added and the percentage of acid drops in the solution.
Find the number of acid added and the percentage of acid in the solution:
Here in the question it is given that,
- A scientist makes an acid solution
- Acid solution is made by adding drops of acid to 1.2 L of water
- The final volume of the acid solution is 1.202 L
- Volume of each drop is 0.05 mL
We have to find the number of drops of acid added to water and percentage of acid in the solution.
From the given conditions we can say that volume of acid added to water will be volume of water subtracted from volume of acid solution,
Volume of acid added = Volume of acid solution - Volume of water
Volume of acid added = 1.202 L - 1.2 L
Volume of acid added = 0.002 L
From the given conditions it is given that the volume of each drop is 0.05 mL. Since volume of a drop is in mL, we should convert the volume of acid added from L to mL.
Volume of acid added = 0.002 L
Volume of acid added = 0.002 × 1000 mL
Volume of acid added = 2mL
To find the number of drops of acid added to water divide volume of acid added by volume of a drop,
Number of drops of acid added = 2mL/0.05mL
Number of drops of acid added = 2 × 100/5
Number of drops of acid added = 40 drops
To find the percentage of acid in the acid solution we will have to divide volume of acid added by the volume of acid solution and multiply with 100,
Percentage of acid in acid solution = (0.002 L/1.202 L)100
Percentage of acid in acid solution = 0.00166 × 100
Percentage of acid in acid solution = 0.166%
Hence 40 drops of acid were added to water and the percentage of acid in acid solution is 0.166% given that scientist makes an acid solution by adding drops of acid to 1.2 L of water and final volume of the acid solution is 1.202 L, provided the volume of each drop is 0.05 mL.
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