The two systems shown below are identical except for the rod connecting the two beakers. Initially the temperatures of the beakers are as follows:
Beaker A = 88°C
Beaker B = 42°C
Beaker C = 88°C
Beaker D = 42°C
Four minutes later the temperatures are as follows:
Beaker A = 73°C
Beaker B = 57°C
Beaker C = 70°C
Beaker D = 60°C
What can you conclude?
A. Beakers A and B will reach their final temperatures first.
B. Beakers C and D will reach their final temperatures first.
C. All four beakers will reach their final temperatures at the same time.
D. It is impossible to determine which will occur based on the given information.
i think the answer is b
I think you need to look at the rate of cooling, ie,how fast they are changing. Exactly what is that k in the exponent?
there is no rate of the cooling or hoow fast they are changing
or is it c because all the temperatures are very close?
initial difference in A and B=46C
four min later they are 16C apart, they have went 16/46 (about 1/3 the way)
initial difference in C and D are 46C
four min later they are 10C apart, they have went 10/46, or about 1/5 they way.
C and D are exchanging heat much more slowly than A and B, so A and B will reach final temps sooner.
THE answer above is wrong. If you do the math, A and B only exchange 15 degrees of heat, and C and D exchange 18 degrees. So the answer is
B. Beakers C and D will reach their final temperatures first.
To determine which beakers will reach their final temperatures first, we need to analyze the rate of temperature change.
From the initial temperatures to the temperatures after four minutes, we can observe the following changes:
Beaker A: Decreased from 88°C to 73°C (-15°C)
Beaker B: Decreased from 42°C to 57°C (+15°C)
Beaker C: Decreased from 88°C to 70°C (-18°C)
Beaker D: Decreased from 42°C to 60°C (+18°C)
Comparing the changes, we notice that Beaker C and Beaker D had larger temperature drops (-18°C and -15°C) compared to Beaker A and Beaker B (-15°C and +15°C).
Therefore, based on the given information, we can conclude that Beakers C and D will reach their final temperatures first. Thus, the correct answer is B.