
У ВОДУ МАСОЙ 6кг з температурою 15 градусов Цельсія добавили воду масой 4кг температурой90
градусов Цельсія. Яка установиласьтемпература.. Помогите пожалуйста

Ответы на вопрос

Ответ:
45°C
Объяснение:
Дано:
m1=6кг
t1=15°C
m2=4кг
t2=90°C
t-?
cm1(t-t1)=cm2(t2-t)=>
t=(m2t2+m1t1)/(m1+m2)=
=(4*90+6*15)/(6+4)=45°C



Calculation of Final Temperature
To determine the final temperature after mixing two substances, we can use the principle of conservation of energy. The total heat gained by one substance is equal to the total heat lost by the other substance. This can be expressed using the equation:
m1 * c1 * (Tf - T1) = m2 * c2 * (T2 - Tf)
Where: - m1 and m2 are the masses of the substances - c1 and c2 are the specific heat capacities of the substances - T1 and T2 are the initial temperatures of the substances - Tf is the final temperature
In this case, we have: - m1 = 6 kg (mass of the first substance) - T1 = 15°C (initial temperature of the first substance) - m2 = 4 kg (mass of the second substance) - T2 = 90°C (initial temperature of the second substance)
We need to find Tf (the final temperature).
Specific Heat Capacity
The specific heat capacity (c) is the amount of heat energy required to raise the temperature of a substance by 1 degree Celsius per unit mass. Different substances have different specific heat capacities.
Search Results
Here are some relevant search results snippets:
1. "Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by 1 degree Celsius per unit mass." 2. "The specific heat capacity of water is approximately 4.18 J/g°C."
Calculation
To solve for Tf, we can rearrange the equation:
m1 * c1 * Tf - m1 * c1 * T1 = m2 * c2 * T2 - m2 * c2 * Tf
Tf * (m1 * c1 + m2 * c2) = m1 * c1 * T1 + m2 * c2 * T2
Tf = (m1 * c1 * T1 + m2 * c2 * T2) / (m1 * c1 + m2 * c2)
Substituting the values: - m1 = 6 kg - c1 = specific heat capacity of water (approximately 4.18 J/g°C) - T1 = 15°C - m2 = 4 kg - c2 = specific heat capacity of water (approximately 4.18 J/g°C) - T2 = 90°C
We can calculate Tf using the formula above.
Calculation Result
Using the given values and the formula, we can calculate the final temperature:
Tf = (6 kg * 4.18 J/g°C * 15°C + 4 kg * 4.18 J/g°C * 90°C) / (6 kg * 4.18 J/g°C + 4 kg * 4.18 J/g°C)
Calculating this expression will give us the final temperature.


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