Physics Thermodynamics ETEA 2018
PMDC Verified Question 52 of 54
The amount of heat required to raise the temperature of 10 moles of water from 70K to 80K (molar heat capacity of water 75.24J) is:
A
572.4J
B
0.7524J
C
95.24J
D
7524J
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: 7524J
1. Concept:

The heat required to raise the temperature of a given number of moles of a substance depends on its molar heat capacity and the change in temperature.

2. Formula:

$$Q = n C \Delta T$$

3. Solution:

  • Identify the given values: \(n = 10 \text{ moles}\), \(C = 75.24 \text{ J/mol K}\).


  • Calculate temperature change: \(\Delta T = 80 \text{ K} - 70 \text{ K} = 10 \text{ K}\).


  • Substitute into the formula: \(Q = 10 \times 75.24 \times 10\).


  • Calculate final value: \(Q = 100 \times 75.24 = 7524 \text{ J}\).


4. Why other options are incorrect:

The other options represent decimal errors (forgetting to multiply by the 10 moles or the 10 K temperature difference) or simple calculation mistakes.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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