Question

В калориметр, содержащий снег массой m1=100 г, температура которого t1=0,0 °C, опустили железную гирьку массой m2=200г, имеющую температуру t2=100 ° C. Сколько воды образовалось в калориметре? Теплоемкостью калориметра пренебречь.

Answer 1

Образовалось 100 г воды!

Answer 2

Calculation of the Amount of Water Formed in the Calorimeter

To calculate the amount of water formed in the calorimeter, we can use the principle of conservation of energy. The heat gained by the water formed is equal to the heat lost by the iron weight.

The formula for calculating the heat gained or lost is:

Q = m * c * ΔT

Where: - Q is the heat gained or lost - m is the mass of the substance (water or iron weight) - c is the specific heat capacity of the substance - ΔT is the change in temperature

In this case, we need to calculate the heat gained by the water formed. The mass of the snow in the calorimeter is given as m1 = 100 g with a temperature of t1 = 0.0 °C. The mass of the iron weight is given as m2 = 200 g with a temperature of t2 = 100 °C.

To calculate the heat gained by the water formed, we need to know the specific heat capacity of water. The specific heat capacity of water is approximately 4.18 J/g°C.

Using the formula mentioned above, we can calculate the heat gained by the water formed:

Q1 = m1 * c * ΔT1 Where: - Q1 is the heat gained by the water formed - m1 is the mass of the snow - c is the specific heat capacity of water - ΔT1 is the change in temperature of the snow

Since the snow melts and forms water, the change in temperature of the snow is equal to the final temperature of the water formed. Therefore, ΔT1 = t1.

Substituting the given values:

Q1 = 100 g * 4.18 J/g°C * 0.0 °C

Simplifying the equation, we find that the heat gained by the water formed is 0 Joules.

Since the heat gained by the water formed is equal to the heat lost by the iron weight, we can calculate the heat lost by the iron weight using the same formula:

Q2 = m2 * c * ΔT2 Where: - Q2 is the heat lost by the iron weight - m2 is the mass of the iron weight - c is the specific heat capacity of iron - ΔT2 is the change in temperature of the iron weight

The specific heat capacity of iron is approximately 0.45 J/g°C.

Substituting the given values:

Q2 = 200 g * 0.45 J/g°C * (100 °C - t2)

Simplifying the equation, we find that the heat lost by the iron weight is:

Q2 = 200 g * 0.45 J/g°C * (100 °C - 100 °C)

Simplifying further, we find that the heat lost by the iron weight is 0 Joules.

Since the heat gained by the water formed is equal to the heat lost by the iron weight, we can conclude that no water is formed in the calorimeter.

Therefore, the amount of water formed in the calorimeter is 0 grams.