Question

В сосуде содержалось 600 граммов 3% раствора соли . Потом в сосуд долили 350 граммов воды и добавили некоторое количество соли . В результате получился раствор , имеющий концентрацию соли 6,8%. Сколько граммов соли было добавлено ?

Answer 1

600 /100%= 6г в 1%
3% * 6г = 18г соли в 600г раствора
600г - 18г = 582г воды в 600г раствора

582+350 = 932г воды в новом растворе
932г = 100%-6.8% или 932г = 93.2% в новом растворе занимает вода
932г / 93.2% = 10г в 1%
10г * 100% = 1000г масса нового раствора с содержанием соли в 6.8%

10г * 6.8 = 68г соли в новом растворе
68г - 18г = 50 г соли добавили

Answer 2

Calculation of the Amount of Salt Added

To calculate the amount of salt that was added to the solution, we can use the principle of conservation of mass.

Let's break down the information given:

- Initially, the vessel contained 600 grams of a 3% salt solution. - Then, 350 grams of water were added to the vessel. - As a result, a solution with a salt concentration of 6.8% was obtained.

To find the amount of salt added, we can set up the following equation:

Initial amount of salt + Amount of salt added = Final amount of salt

Let's solve this equation step by step:

1. Calculate the initial amount of salt: - The initial solution had a concentration of 3%, which means that 3% of the solution's mass was salt. - Therefore, the initial amount of salt can be calculated as 3% of 600 grams: - Initial amount of salt = 3/100 * 600 grams = 18 grams.

2. Calculate the final amount of salt: - The final solution has a concentration of 6.8%, which means that 6.8% of the solution's mass is salt. - The final solution's mass is the sum of the initial solution's mass (600 grams) and the added water (350 grams): - Final solution's mass = 600 grams + 350 grams = 950 grams. - Therefore, the final amount of salt can be calculated as 6.8% of 950 grams: - Final amount of salt = 6.8/100 * 950 grams = 64.6 grams.

3. Calculate the amount of salt added: - We can subtract the initial amount of salt from the final amount of salt to find the amount of salt added: - Amount of salt added = Final amount of salt - Initial amount of salt - Amount of salt added = 64.6 grams - 18 grams = 46.6 grams.

Therefore, 46.6 grams of salt were added to the solution.