How many litres of acid are there in 12 litres of a 20% solution?
2.4 litres
Calculating Acid Quantity in a Percentage Solution
The question asks us to find the amount of acid present in a 12-litre solution where the concentration of acid is 20%.
Understanding what "20% solution" means is key. It means that for every 100 units of the solution, 20 units are acid. This can be written as a fraction or a decimal:
- As a fraction: $\frac{20}{100}$
- As a decimal: $0.20$
To find the total amount of acid in the 12-litre solution, we need to calculate 20% of the total volume (12 litres).
The calculation is as follows:
Amount of acid = Percentage of acid $\times$ Total volume of solution
Amount of acid = $20\%$ of 12 litres
In mathematical terms, this is:
\( \text{Amount of acid} = \frac{20}{100} \times 12 \text{ litres} \)
Now, let's perform the multiplication:
\( \text{Amount of acid} = 0.20 \times 12 \text{ litres} \)
\( \text{Amount of acid} = 2.4 \text{ litres} \)
So, there are 2.4 litres of acid in the 12 litres of a 20% solution.
Comparing this result with the given options:
- 1.2 litres
- 3.6 litre
- 4.8 litres
- 2.4 litres
The calculated amount of acid is 2.4 litres.
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