Among the following the system that would require the least amount of thermal energy to bring its temperature… · ABC26PH0583

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

Among the following the system that would require the least amount of thermal energy to bring its temperature to 80°C.
(a)200 gm fo water at 40°
(b)100 gm of water at $20^{\circ} \mathrm{C}$
(c)150 gm of water at $50^{\circ} \mathrm{C}$
(d)300 gm of water at $30^{\circ} \mathrm{C}$.
Answer
Answer: C ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation
q ∝ m × ΔT: 200 × 40 = 8000, 100 × 60 = 6000, 150 × 30 = 4500, 300 × 50 = 15000 — the 150 g at 50 °C needs least.

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