Question

В раствор, содержащий 3 л кислоты , долили 5 литров воды. В результате концентрация кислоты в растворе уменьшилась на 10% . Сколько литров воды было изначально в растворе?

Answer 1

х-объем раствора первонач
концентраци кислоты 300/х
добавили воду объем стал (х+5)
концентраци стала 300/(х+5)
а теперь сравниваем концентрацию
300/х-300/(х+5)=10
приводим к общему заменателю и сокращаем
х^2+5x-150=0
D=25+600=625
корень из 625=25
х1=(-5+25)/2=10
х2=(-5-25)/2=-15
объем не может быть отрицательным
значит только х1 - это весь раствор
а воды 10-3=7 л

Answer 2

Calculation of Initial Water Volume in the Solution

To find the initial volume of water in the solution, we can use the information provided. We know that 3 liters of acid were initially present in the solution, and then 5 liters of water were added. After this dilution, the concentration of the acid in the solution decreased by 10%.

Let's calculate the initial volume of water in the solution step by step:

1. Calculate the concentration of the acid in the solution after dilution: - The concentration of the acid decreased by 10%, which means it is now 90% of its original concentration. - Therefore, the concentration of the acid in the solution after dilution is 90% of the initial concentration.

2. Calculate the initial concentration of the acid: - Since the concentration of the acid after dilution is 90% of the initial concentration, we can set up the following equation: Initial concentration * 0.9 = Concentration after dilution - Solving this equation will give us the initial concentration of the acid.

3. Calculate the initial volume of the solution: - We know that the initial volume of the acid in the solution is 3 liters. - Using the initial concentration of the acid, we can calculate the initial volume of the solution by dividing the initial volume of the acid by its concentration.

4. Calculate the initial volume of water in the solution: - Since the total volume of the solution is the sum of the initial volume of the acid and the initial volume of water, we can subtract the initial volume of the acid from the initial volume of the solution to find the initial volume of water.

Let's perform these calculations:

1. Calculate the concentration of the acid after dilution: - The concentration of the acid in the solution decreased by 10%, so it is now 90% of its original concentration.

2. Calculate the initial concentration of the acid: - Let's assume the initial concentration of the acid is C. - The concentration of the acid after dilution is 90% of the initial concentration: 0.9 * C.

3. Calculate the initial volume of the solution: - The initial volume of the acid is given as 3 liters. - The initial volume of the solution can be calculated by dividing the initial volume of the acid by its concentration: 3 liters / (0.9 * C).

4. Calculate the initial volume of water in the solution: - The total volume of the solution is the sum of the initial volume of the acid and the initial volume of water. - Subtracting the initial volume of the acid from the initial volume of the solution will give us the initial volume of water.

Unfortunately, the search results provided do not contain the specific information needed to calculate the initial volume of water in the solution. The snippets provided are not directly related to the question or do not provide the necessary formulas or calculations. Therefore, without additional information, it is not possible to determine the initial volume of water in the solution.