Question

В калориметре находится 500г воды и 30г льда. Какая температура установится в калориметре, если в него долить 200 г кипятка?

Answer 1

Q1+Q2=Q3

Q1=Л*m льда

Q2=c* m воды и льда *(t-0)

Q3=c*m кипятка * (100-t)

Q1=3.3*10^5*0.03

Q2=4200*0.53*t

Q3=4200*0.2*100-4200*0.2*t

t(4200*0.53+4200*0.2)=4200*0.2*100-3.3*10^5*0.03

t=74100/3066=24

Ответ: 24

Answer 2

Calculation of Final Temperature

To determine the final temperature in the calorimeter, we can use the principle of conservation of energy. The heat gained by the water and ice must be equal to the heat lost by the hot water.

Let's denote the initial temperature of the water and ice as T0. The heat gained by the water can be calculated using the formula:

Q_water = m_water * c_water * (T_final - T0)

where: - Q_water is the heat gained by the water - m_water is the mass of the water (500 g) - c_water is the specific heat capacity of water (4.18 J/g°C) - T_final is the final temperature of the water and ice mixture

Similarly, the heat gained by the ice can be calculated using the formula:

Q_ice = m_ice * c_ice * (T_final - T0)

where: - Q_ice is the heat gained by the ice - m_ice is the mass of the ice (30 g) - c_ice is the specific heat capacity of ice (2.09 J/g°C)

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

Q_hot_water = m_hot_water * c_hot_water * (T0 - T_final)

where: - Q_hot_water is the heat lost by the hot water - m_hot_water is the mass of the hot water (200 g) - c_hot_water is the specific heat capacity of water (4.18 J/g°C)

According to the principle of conservation of energy, the heat gained by the water and ice must be equal to the heat lost by the hot water:

Q_water + Q_ice = Q_hot_water

Substituting the formulas for Q_water, Q_ice, and Q_hot_water, we can solve for T_final:

m_water * c_water * (T_final - T0) + m_ice * c_ice * (T_final - T0) = m_hot_water * c_hot_water * (T0 - T_final)

Simplifying the equation:

T_final = (m_water * c_water * T0 + m_ice * c_ice * T0 + m_hot_water * c_hot_water * T0) / (m_water * c_water + m_ice * c_ice + m_hot_water * c_hot_water)

Now, let's substitute the given values into the equation and calculate the final temperature.