Gce Model Questions Vol1 2023 Physics Question 24

Practice objective / multiple choice question 24 from the 2023 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2023 Physics Objective / Multiple Choice Medium Difficulty
Question 24 GCE_MODEL_QUESTIONS_VOL1 • 2023 • PHYSICS • objective

A \(0.5\) kg copper block (specific heat \(c_{Cu}=385\) J kg\(^{-1}\)K\(^{-1}\)) initially at \(150^{\circ}\)C is placed into \(2.0\) kg of water (specific heat \(c_{w}=4186\) J kg\(^{-1}\)K\(^{-1}\)) at \(20^{\circ}\)C inside an insulated container. The container loses heat to the surroundings at a rate \(\dot Q = k\,(T-20^{\circ}{\rm C})\) with \(k = 2\) W K\(^{-1}\). Assuming thermal equilibrium is reached after \(5\) minutes, determine (a) the equilibrium temperature of the water‑copper system, and (b) the total heat lost to the surroundings during the \(5\) minute interval.

Answer Options

A. (a) Equilibrium temperature \(\approx 25^{\circ}{\rm C}\). (b) Heat lost to surroundings \(\approx 3.2\times10^{3}\) J.
B. (a) Equilibrium temperature \(\approx 18^{\circ}{\rm C}\). (b) Heat lost to surroundings \(\approx 1.0\times10^{3}\) J.
C. (a) Equilibrium temperature \(\approx 30^{\circ}{\rm C}\). (b) Heat lost to surroundings \(\approx 2.5\times10^{3}\) J.
Correct Answer D. (a) Equilibrium temperature \(\approx 23^{\circ}{\rm C}\). (b) Heat lost to surroundings \(\approx 1.8\times10^{3}\) J.
Correct Answer
D
Correct Option:
(a) Equilibrium temperature \(\approx 23^{\circ}{\rm C}\). (b) Heat lost to surroundings \(\approx 1.8\times10^{3}\) J.

About This Question

This is Gce Model Questions Vol1 2023 Physics Question 24. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Physics examination.

Difficulty level: Medium .

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