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.
Important Questions from To Make a Mixture from Two Mixtures
In a 90 litre solution, acid and water are in the ratio 2 ∶ 1, To make the ratio of acid and water as 1 ∶ 2, how many litre of water should be added to the solution?
In a milk and water solution, the ratio of milk to water is 1 : 4. M litres of milk is added in it and ratio become 1 : 3. Again N litres of water is added in it and ratio become 2 : 7. If N – M = 4, then what is the initial quantity of solution?
A mixture contains acid and alcohol in the ratio of 3 : 2. On adding 10 litres of alcohol in mixture, the ratio of acid to alcohol becomes 3 : 5. The quantity of acid (in litres) in the original mixture was:
1 litre of water at 40°C is mixed with 1 litre of water at 60°C. What will be the approximate temperature of water after a certain time?
- Two vessel contain milk and water in the ratio 7 ∶ 8 and 13 ∶ 5. If both vessel are mixed in ratio 1 ∶ 1, find the ratio of milk and water in new mixture?
