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Two moles of an ideal monoatomic gas are heated at constant volume from $T_1 = 300 \text{ K}$ to $T_2 = 400 \text{ K}$. What is the change in internal energy $\Delta U$ of the gas? (Use $R = 8.314 \text{ J/mol K}$)
- A.$1247.1 \text{ J}$
- B.$2494.2 \text{ J}$
- C.$3741.3 \text{ J}$
- D.$4988.4 \text{ J}$
Show correct answer & step-by-step solution
Correct answer: B — $2494.2 \text{ J}$
Solution
The change in internal energy is . For a monoatomic gas, . Thus, .
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