Chemistry Gases UHS 2022
PMDC Verified Question 33 of 65
If we want to raise the temperature of one mole of an ideal gas by 1K, we have to provide how much amount of energy?
A
0.0821J
B
0.0821Kj
C
\( 8.314 \text{ dm}^3 \text{ atm} \)
D
\( 0.0821 \text{ dm}^3 \text{ atm} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( 0.0821 \text{ dm}^3 \text{ atm} \)
Concept:

The universal gas constant (R) can physically be interpreted as the amount of work done (or energy provided) per mole of an ideal gas to raise its temperature by exactly 1 Kelvin at constant pressure.

Solution:

  • The energy required is numerically equal to the value of R.


  • We must identify the correct value of R matched with the correct units of energy/work. The product of pressure (atm) and volume (\( \text{dm}^3 \)) results in a unit of work/energy (\( \text{atm} \cdot \text{dm}^3 \)).


  • The standard value of R in these units is \( 0.0821 \text{ dm}^3 \text{ atm K}^{-1} \text{ mol}^{-1} \).


  • Therefore, for 1 mole and 1 K, the energy is \( 0.0821 \text{ dm}^3 \text{ atm} \).


Why other options are incorrect:

  • Option A: The value 0.0821 does not pair with Joules. R in Joules is 8.314 J.
  • Option B: 0.0821 kJ is wildly incorrect as it mixes the literal value of atm-dm3 with kilojoules.
  • Option C: 8.314 pairs with Joules, not \( \text{dm}^3 \text{ atm} \).

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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