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EEJ MAIN Physics QUESTION #7061
Question 1
An ideal gas occupies $2 \text{ m}^3$ at a pressure of $3 \times 10^6 \text{ Pa}$. Determine the internal energy of the gas.
  • $9 \times 10^6 \text{ J}$✔️
  • $6 \times 10^4 \text{ J}$
  • $10^8 \text{ J}$
  • $3 \times 10^2 \text{ J}$
Correct Answer Explanation

Assuming the gas is monoatomic (as is standard in such problems unless specified otherwise), the internal energy $U$ is given by:

$U = \frac{3}{2} nRT = \frac{3}{2} PV$

$U = \frac{3}{2} \times (3 \times 10^6 \text{ Pa}) \times (2 \text{ m}^3)$

$U = 3 \times 3 \times 10^6 = 9 \times 10^6 \text{ J}$.