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1 9. Two spheres, labeled A and B, have identical masses, but are made of differ

ID: 1409239 • Letter: 1

Question

19.Two spheres, labeled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 440 J/(kg C°) and that of sphere B is 160 J/(kg C°). The spheres are initially at 21 °C; and the same quantity of heat is added to each sphere. If the final temperature of sphere A is 72 °C, what is the final temperature of sphere B? 19.Two spheres, labeled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 440 J/(kg C°) and that of sphere B is 160 J/(kg C°). The spheres are initially at 21 °C; and the same quantity of heat is added to each sphere. If the final temperature of sphere A is 72 °C, what is the final temperature of sphere B? 19.Two spheres, labeled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 440 J/(kg C°) and that of sphere B is 160 J/(kg C°). The spheres are initially at 21 °C; and the same quantity of heat is added to each sphere. If the final temperature of sphere A is 72 °C, what is the final temperature of sphere B?

Explanation / Answer

Ratio of Specific heat is-: 440 : 160, sphere A is 2.75 times harder to heat up.

Sphere A has increased in temp by 51 degrees.

So sphere B will increase in temp by 2.75 * 51 = 140.25, so the final temp of sphere B is 21 + 140.25 = 161.25 degrees.