Question

В котёл, содержащий воду массой 20 т при температуре 71°C, добавили 8 т воды при температуре 25°C. Определи температуру, которая установится в котле. Теплоёмкостью котла можно пренебречь. СРОЧНО!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

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Answer 2

Problem Analysis

We have a boiler containing 20 tons of water at a temperature of 71°C. We add 8 tons of water at a temperature of 25°C to the boiler. We need to determine the final temperature that will be established in the boiler. We can assume that the heat capacity of the boiler can be neglected.

Solution

To solve this problem, we can use the principle of conservation of energy. The total energy before and after the addition of water should remain the same.

The energy before adding water is given by the equation:

Energy before = mass of water 1 * specific heat capacity of water * temperature of water 1

The energy after adding water is given by the equation:

Energy after = (mass of water 1 + mass of water 2) * specific heat capacity of water * final temperature

Since the heat capacity of the boiler can be neglected, we can assume that the specific heat capacity of water is constant.

Setting the two equations equal to each other and solving for the final temperature:

(mass of water 1 * specific heat capacity of water * temperature of water 1) = (mass of water 1 + mass of water 2) * specific heat capacity of water * final temperature

Simplifying the equation:

mass of water 1 * temperature of water 1 = (mass of water 1 + mass of water 2) * final temperature

Substituting the given values:

(20 tons * 71°C) = (20 tons + 8 tons) * final temperature

Simplifying further:

1420 tons°C = 28 tons * final temperature

Dividing both sides by 28 tons:

final temperature = 1420 tons°C / 28 tons

Calculating the final temperature:

final temperature = 50.71°C

Therefore, the temperature that will be established in the boiler after adding 8 tons of water at 25°C is approximately 50.71°C.

Conclusion

The final temperature that will be established in the boiler after adding 8 tons of water at 25°C is approximately 50.71°C.