Equilibrium temperature homework

[rhxoehwhfh]

4. When 1 kg of water at 1000C is mixed with 10 kg of water at 00C, the equilibrium temperature will be:
a) exactly 00C b) exactly 500C c) exactly 1000C d) slightly above 00C

5. Two objects, A and B, have the same mass and the same initial temperature. However, object A has a smaller specific heat capacity than object B. If the same amount of heat of heat is added to each object, then:

a) both objects will have the same final temperature
b) object A will have the higher final temperature
c) object B will have the higher final temperature
d) we need the values of the specific heat capacities to determine which object has the highest final temperature

 

[dotman]

Hello,

I think they typically like to see a bit of effort before posting answers. With these problems, you should be able to at least eliminate some choices with some simple reasoning.

For instance, in #4, what happens when you pour a little bit of hot water into a whole lot of cold water? Can you eliminate any answers based on your intuition? If you're not sure, you can always try it at home :-)

For #5, what exactly is the definition of specific heat capacity? Does this help eliminate any potential answers?

What are your thoughts on these?

 

[ogb p]

The equilibrium temperature in the given scenario can be calculated using the principle of heat transfer, specifically the equation for heat capacity. The final temperature will depend on the specific heat capacity of each object and the amount of heat added.

For question 4, the correct answer is d) slightly above 00C. This is because when two substances with different initial temperatures are mixed, heat will transfer from the hotter object to the colder one until they reach thermal equilibrium. In this case, the 1 kg of water at 1000C will transfer heat to the 10 kg of water at 00C until they reach an equilibrium temperature somewhere in between 00C and 1000C. The exact temperature will depend on the specific heat capacity of water.

For question 5, the correct answer is d) we need the values of the specific heat capacities to determine which object has the highest final temperature. This is because the specific heat capacity is a measure of how much heat energy is required to raise the temperature of a substance by a certain amount. So, even if object A has a smaller specific heat capacity, it could still have a higher final temperature if it requires less heat energy to raise its temperature compared to object B. The final temperature will also depend on the amount of heat added, which is not specified in the question.