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This can be confusing at first but after you do the calculations there is really nothing to it.
NOTE: adding temperatures DOES NOT work for this eg
if you have 53 degrees C of water and you add 32 degrees C of water, despite how much I wish that it worked like that and so that our energy bills wouldn't cost a thing, the final temperature is NOT 85 degrees C nor vice versa
The easiest method of calculating the change of temperature is to know the heat energy of the system. Whereby
Q = mcT
m = mass of water in this case
c = heat capacity of water
T = Temperature in Kelvin I believe
so take 33 mL of water at 45 degrees C and add that to 750 mL of water at 87 degree C
Calculate the respective energies and add them together:
we have c = 4.1855 [J/(g·K)] (15 °C, 101.325 kPa)
m1 = 33g
T1 = 45 + 273 = 318 degrees K
Q1 = 43.922 Joules
m2 = 750g
T2 = 87 + 273 = 360 degrees K
Q2 = 1130.085 Joules
Now Qfinal = mfinal * c * T final
so Qfinal = Q1 + Q2 = 1174.007 Joules
mfinal = 33 + 750 = 783g
therefore the final temp of the system must be (given that I've got the correct values so far :P ) :
Tfinal = Qfinal /mfinal *c
Tfinal = 358 degree K or 85.23 degrees C, which makes sense if you think about it, as most of the water was hotter, and you only added a small amount of cold, meaning that the temp. shouldn't, if you think about it, drop too substantially.
Hope this helps.
Cheers.
What else can I help you with?
What happens if you mix hot water with cold water?
When hot water is mixed with cold water, the overall temperature of the mixture will be between the initial temperatures of the hot and cold water. The hot water will transfer heat to the cold water, resulting in a gradual temperature equilibrium.
What happens when hot water is poured into a cup of cold water?
When hot water is poured into cold water, the hot water will transfer its heat energy to the cold water, causing the overall temperature of the mixture to increase. Eventually, the hot and cold water will reach a thermal equilibrium where they have the same temperature throughout the mixture.
When hot and cold water are mixed together what the water has reached?
When hot and cold water are mixed together, the water reaches a temperature that is between the initial temperatures of the hot and cold water. This is due to the principle of thermal equilibrium, which states that heat energy will transfer from the hotter substance to the cooler substance until they reach the same temperature.
On which two factors does the final temperature of a mixture of hot and cold water depend?
The final temperature of a mixture of hot and cold water depends on the initial temperatures of the two water sources and the amounts of hot and cold water being mixed together.
What happens to thermal energy when you mix hot and cool water together?
Since hot water is less dense that cold air the hot water will rise and the cold would sink then it keeps doing this in a circular motion 'till the thermal energy reaches to thermal equilibrium.
What happens to the temperature of the hot water and the temperature of the cold water?
it makes warmth
What happens when cold water meets warm water?
it becomes a mixture of a warm and cold water :)))
What happens if you mix hot water with cold water?
When hot water is mixed with cold water, the overall temperature of the mixture will be between the initial temperatures of the hot and cold water. The hot water will transfer heat to the cold water, resulting in a gradual temperature equilibrium.
What happens to the thermometer when it enters in cold water?
When a thermometer enters cold water, the temperature reading on the thermometer will decrease as the thermometer adjusts to the temperature of the water. The liquid inside the thermometer will contract and move down the scale, indicating the lower temperature of the cold water.
What happens if aquariums water temperature is wrong?
If the water temperature is too hot or too cold, your fish will be stressed and may die.
What happens when hot water is poured into a cup of cold water?
When hot water is poured into cold water, the hot water will transfer its heat energy to the cold water, causing the overall temperature of the mixture to increase. Eventually, the hot and cold water will reach a thermal equilibrium where they have the same temperature throughout the mixture.
What material can you use to make the temperature of water?
the type of material you can use to make the temperature of water is to, use boiling water or cold water and if you mix them together you can get warm water, and if you use hot water you'll have hot steamy water and for cold water you'll have an ice cold water.
When hot and cold water are mixed together what the water has reached?
When hot and cold water are mixed together, the water reaches a temperature that is between the initial temperatures of the hot and cold water. This is due to the principle of thermal equilibrium, which states that heat energy will transfer from the hotter substance to the cooler substance until they reach the same temperature.
On which two factors does the final temperature of a mixture of hot and cold water depend?
The final temperature of a mixture of hot and cold water depends on the initial temperatures of the two water sources and the amounts of hot and cold water being mixed together.
Why does cold water seem warm after a while of swimming?
This happens because your body temperature gets used to the cold water, at the same time the temperature from the body makes the water a little warmer also.
What happens when warm water becomes cold?
The temperature will not be exactly half way between the two temperatures, but rather closer to the cold water's temperature.
What happens if a person drinks cold water after a 90 minute exercise?
it dosent go down as fast as temperature water would
