Question

Two spheres, labeled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 741 J/(kg · C°) and that of sphere B is 230 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 82 °C, what is the approximate final temperature of sphere B?

Select one:
A. 21 °C
B. 140 °C
C. 220 °C
D. 82 °C
E. 160 °C

Answer 1

Explanation:

Given Two spheres, labelled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 741 J/(kg · C°) and that of sphere B is 230 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 82 °C, what is the approximate final temperature of sphere B?

• Given two spheres A and B have identical masses but made of different substances.
• Therefore heat gained by sphere A will be equal to heat gained by sphere B.
• Now m s dt = m’ s’ dt’ here m and m’ are masses of A and B , also s and s’ are specific heat capacities of A and B. also dt and dt’ are change in temperature.
• Now s dt = s’ dt’
• 741 J / kg degree C x (82 – 21) degree C = 230 J / kg degree C x (t – 21) degree C
• 741 x 61 = 230 x (t – 21)
• So t – 21 = 45201 / 230
• Or t – 21 = 196.52
• Or t = 196.52 + 21
• Or t = 217.52 degree C
• Or t = 217 degree Celsius.
• Or nearest t = 220 degree C

Reference link will be

https://brainly.in/question/10670122

Answer 2

Sorry I don't know

Explanation: