DIRECTIONS: In the following questions the first word is related to th...
Amount of salt in the solution = 5% of 6 l = 0.3 l
Percentage of salt in the remaining solution
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DIRECTIONS: In the following questions the first word is related to th...
Explanation:
To find the percentage of salt in the remaining solution, we need to understand the concept of how the concentration of a solution changes when a solvent is evaporated.
Step 1: Calculate the amount of salt in the initial solution:
Given that the initial solution contains 5% salt, we can calculate the amount of salt in the solution using the formula:
Amount of salt = (Percentage of salt / 100) * Volume of solution
In this case, the volume of the initial solution is 6 liters, and the percentage of salt is 5%. So,
Amount of salt in the initial solution = (5/100) * 6 = 0.3 liters
Step 2: Calculate the amount of salt in the remaining solution:
Since 1 liter of water is evaporated from the solution, the volume of the remaining solution will be 6 - 1 = 5 liters.
To calculate the amount of salt in the remaining solution, we can use the formula:
Amount of salt = Amount of salt in the initial solution - Amount of salt evaporated
Amount of salt evaporated = (Percentage of salt / 100) * Volume of water evaporated
In this case, the percentage of salt is still 5%, and the volume of water evaporated is 1 liter. So,
Amount of salt evaporated = (5/100) * 1 = 0.05 liters
Therefore, the amount of salt in the remaining solution is:
Amount of salt in the remaining solution = Amount of salt in the initial solution - Amount of salt evaporated
= 0.3 - 0.05 = 0.25 liters
Step 3: Calculate the percentage of salt in the remaining solution:
To find the percentage of salt in the remaining solution, we can use the formula:
Percentage of salt = (Amount of salt / Volume of solution) * 100
In this case, the amount of salt in the remaining solution is 0.25 liters, and the volume of the remaining solution is 5 liters. So,
Percentage of salt in the remaining solution = (0.25 / 5) * 100 = 5%
Therefore, the correct answer is option 'D' - 6%.