Finding the Average Temperature of Two Containers?
If I have a bath full of water at 10 degrees and a cup full of boiling water at 100 degrees then what is the average temperature ?
Dave: Not sure, someone asked me this question but I think there’s may be a trick to it? Thought I get some other peoples thoughts.
Heat = mass X specific heat X change in temperature
Notice that heat involves the mass of the material.
A cup of boiling water would barely effect the temperature of a bathtub full of water.
To find the actual answer, you need to know how much water is in the bathtub.
Then you set the heat loss of one = to heat gained by the other. The specific heat of water is 1 in both cases.
If the cup contained 250ml, that is 250g of water (density of water is 1g.ml)
Suppose that the tub contained 25liters or 25000g of water
Let Z = new temp
25000 X (Z- 10)= 250g X (100-Z)
average temp is 55 but if your talking about thermal energy then you have to throw mass into the equation. are you sure you aren’t talking about average thermal energy?
References :
Heat = mass X specific heat X change in temperature
Notice that heat involves the mass of the material.
A cup of boiling water would barely effect the temperature of a bathtub full of water.
To find the actual answer, you need to know how much water is in the bathtub.
Then you set the heat loss of one = to heat gained by the other. The specific heat of water is 1 in both cases.
If the cup contained 250ml, that is 250g of water (density of water is 1g.ml)
Suppose that the tub contained 25liters or 25000g of water
Let Z = new temp
25000 X (Z- 10)= 250g X (100-Z)
References :
Answer comes out about 10.9oC