Respuesta :
Answer:
30 °C
Explanation:
When you pour water from one glass to the other, the heat energy will flow from the hot water to the cold.
You have equal masses of water in each glass. The hot water should cool down as much as the cold water warms up.
The final temperature should be halfway between the starting temperatures in each glass.
(10 °C + 50°C)/2 = 60 °C/2 = 30°C
The temperature of the full glass of water should be 30 °C.
The temperature of the full glass of water will be 30ºC after the water is mixed.
Heat energy
In a mixture between two substances of different temperatures, there is heat transfer, in which the one with a lower temperature receives this heat and the one with a higher temperature loses the heat.
In a system, the value of heat lost and received is equal.
This heat is represented by the following expression:
[tex]Q = m \times c\times T[/tex]
Thus, to find the value of the final temperature of the mixture, it is enough to equate the heat of the two substances.
Since both have the same mass and are the same substance, the specific heat and mass will be equal:
[tex]T_a = T _b[/tex]
[tex](t_{f} - 50) = (t_{f} - 10)[/tex]
As the value of the cup temperature of 50º is lower than the initial temperature, the result of the temperature variation would be negative, so the signs of the expression can be changed.
[tex]50 - t_{f} = t_{f} - 10[/tex]
[tex]2 t_{f} = 60[/tex]
[tex]t_{f}= 30[/tex]
So, the temperature of the full glass of water will be 30ºC after the water is mixed.
Learn more about heat energy in: brainly.com/question/1495272
