Question

Творче завдання Використовуючи дані, отримані в ході виконання лабораторної роботи, визначте, скільки холодної води треба додати в калориметр, який містить 100 г гарячої води, щоб у ньому встановилася темпе- ратура 40 °С. Теплообміном із навколишнім середовищем знехтуйте. Отриманий результат за можливості перевірте експериментально.​

Answer 1

Ответ:

Объяснение:

Используя данные, полученные в ходе выполнения лабораторной работы, определите, сколько холодной воды нужно добавить в калориметр, содержащий 100 г горячей воды, чтобы в нем установилась температурах 40 °С. Теплообменом с окружающей средой можно пренебречь.

Дано:

​m₁ = 100 г = 0,1 кг

t₂ = 60⁰C

t = 40°C

t₁ = 15°C

__________

m₁ - ?

Q₂ = c·m₂·(t₂ - t)

Q₁ = c·m₁·(t - t₁)

Приравняем:

Q₁ = Q₂

c·m₁·(t - t₁) =  c·m₂·(t₂ - t)

m₁·(t - t₁) =  m₂·(t₂ - t)

m₁ = m₂·(t₂ - t) / (t - t₁)

m₁ = 0,1·(60 - 40) / (40 - 15) = 0,080 кг   или   80 г

Answer 2

Calculation of the amount of cold water needed to reach a temperature of 40°C in a calorimeter

To determine the amount of cold water needed to reach a temperature of 40°C in a calorimeter, we can use the principle of conservation of energy. The heat gained by the cold water will be equal to the heat lost by the hot water.

Let's assume that the initial temperature of the hot water is T1, the mass of the hot water is m1, the final temperature of the mixture is T2, and the mass of the cold water to be added is m2.

The heat gained by the cold water can be calculated using the formula:

Q1 = m2 * c * (T2 - T1)

Where: - Q1 is the heat gained by the cold water - m2 is the mass of the cold water - c is the specific heat capacity of water (approximately 4.18 J/g°C) - (T2 - T1) is the change in temperature

The heat lost by the hot water can be calculated using the formula:

Q2 = m1 * c * (T1 - T2)

Where: - Q2 is the heat lost by the hot water - m1 is the mass of the hot water - c is the specific heat capacity of water (approximately 4.18 J/g°C) - (T1 - T2) is the change in temperature

According to the principle of conservation of energy, Q1 should be equal to Q2:

Q1 = Q2

Substituting the values into the equation:

m2 * c * (T2 - T1) = m1 * c * (T1 - T2)

Simplifying the equation:

m2 * (T2 - T1) = m1 * (T1 - T2)

Solving for m2:

m2 = (m1 * (T1 - T2)) / (T2 - T1)

Now, let's substitute the given values into the equation to calculate the mass of cold water needed.

Given: - m1 (mass of hot water) = 100 g - T1 (initial temperature of hot water) = temperature of hot water - T2 (final temperature of mixture) = 40°C

Please provide the temperature of the hot water so that we can proceed with the calculation.