Question

Two spheres, labeled I and B, have identical masses but are made of different substances. The specific heat capacity of sphere I is 140 J/(kg·Cº) and that of sphere B is 160 J/(kg·C). The spheres are initially at 21ºC, and the same quantity of heat is added to each sphere. If the final temperature of sphere I is 72ºC, what is the final temperature of sphere B?

A) 62ºC
B) 68ºC
C) 78ºC
D) 82ºC

Answer 1

Both sphere I and sphere B will have a final temperature of 72ºC. If the final temperature of sphere I is 72ºC, " 68ºC " is the final temperature of sphere B. So, the correct option is "B" " 68ºC ".

Step-by-step explanation:

To find the final temperature of sphere B, we can use the formula:

Q = mcΔT

Q is the heat added to each sphere, m is the mass of each sphere, c is the specific heat capacity of each sphere, and ΔT is the change in temperature. Since the spheres have identical masses and the same amount of heat is added to each sphere, the change in temperature for sphere B will be the same as sphere I.

Therefore, the final temperature of sphere B will also be 72ºC.

If the final temperature of sphere I is 72ºC, " 68ºC " is the final temperature of sphere B. So, the correct option is "B" " 68ºC ".