Thermodynamics Question 3

Question 3 - 2024 (27 Jan Shift 1)

$0.08 kg$ air is heated at constant volume through $5^{\circ} C$. The specific heat of air at constant volume is

$0.17 kcal / kg^{\circ} C$ and $J=4.18$ joule $/ cal$. The change in its internal energy is approximately.

(1) $318 J$

(2) $298 J$

(3) $284 J$

(4) $142 J$

Show Answer

Answer: (3)

Solution:

$Q=\Delta U$ as work done is zero [constant volume]

$\Delta U=ms \Delta T$

$=0.08 \times(170 \times 4.18) \times 5$

$\simeq 284 J$