Equilibrium temperature of closed system Body X of temperature 0° C is brought into thermal contac

agrejas0hxpx

agrejas0hxpx

Answered question

2022-05-09

Equilibrium temperature of closed system
Body X of temperature 0° C is brought into thermal contact with body Y of temperature 100° C. X has specific heat capacity higher than of Y. The masses of X and Y are equal.
By my reasoning, the final equilibrium temperature should lie between 0° C and 50° C. Is this correct?
Edit: 1) The bodies are in thermal contact only with one another; they are in a closed system.
2) My reasoning:
Q x = m x c x Δ T x
Q y = m y c y Δ T y
Q x = Q y , m x = m y
c x Δ T x = c y Δ T y
If c x is higher than x y , then Δ T x must be lower thab Δ T y , so the equilibrium temperature must lie below 50° C.

Answer & Explanation

Ariella Bruce

Ariella Bruce

Beginner2022-05-10Added 19 answers

That's an intuitive guess but you should get some good proof to support your argument.
Better is to apply the principle of calorimetry to get a firm grip on your answer and reasoning:
if two substances of different temperature are in thermal contact and if no heat is allowed to go out or enter into and if no chemical reactions takes place in between the two bodies then heat lost by the hotter body will be equal to the heat gained by the colder body.i.e.heat lost=heat gained
Say if T is the final temperature, from the equation you obtain, check what you can comment on the range of T

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