Question

СРОЧНО!!!!!! Для приготовления ванны, необходимо смешать холодную воду при 11 градусов Цельсия с горячей водой при 66 градусов Цельсия. Какое количество и той и другой воды необходимо взять для получения 110л при 36 градусов Цельсия ?

Answer 1

Х (л) - нужно взять воды температурой 11 градусов цельсия; 
110-Х (л) - нужно взять воды температурой 66 градусов цельсия; 

1) Составим уравнение 11Х+66(110-Х) =36*110 
11Х+7260-66Х=3960 
-55Х=-3300 
Х=60 
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60л- нужно взять воды температурой 11 градусов цельсия; 
2) 110-60=50 (л) - нужно взять воды температурой 66 градусов цельсия; 

Ответ: 60л, 50л.

Answer 2

Calculating the Amount of Hot and Cold Water Needed for a Bath

To calculate the amount of hot and cold water needed to prepare a bath of 110 liters at 36 degrees Celsius, we can use the principle of mixtures. The formula for this calculation is based on the principle that the amount of heat gained by the cold water is equal to the amount of heat lost by the hot water when they are mixed together.

Given: - Initial temperature of cold water (T1) = 11 degrees Celsius - Initial temperature of hot water (T2) = 66 degrees Celsius - Final temperature of the mixture (T) = 36 degrees Celsius - Volume of the mixture (V) = 110 liters

Using the formula: M1 * (T - T1) = M2 * (T2 - T)

Where: - M1 = volume of cold water - M2 = volume of hot water

We can calculate the volumes of cold and hot water needed for the bath.

Calculation

Let's calculate the amount of cold water and hot water needed for the bath.

First, we calculate the amount of hot water needed: M2 = (M1 * (T - T1)) / (T2 - T)

Substituting the given values: M2 = (M1 * (36 - 11)) / (66 - 36)

Solving for M2, we get: M2 = (25M1) / 30

Next, we calculate the amount of cold water needed: M1 + M2 = V M1 + (25M1) / 30 = 110

Solving for M1: M1 = 30 * (110 - M2) / 55

Now, we can substitute the value of M2 into the equation to find the specific amounts of cold and hot water needed.

Conclusion

To summarize, the amount of cold water and hot water needed for the bath can be calculated using the above formulas. This will ensure that the final mixture is 110 liters at 36 degrees Celsius.

I hope this helps! Let me know if you need further assistance.