What is the internal energy in 2.7 moles of hydrogen at 300 K? As an approximation, treat the hydrogen gas as if it was monatomic.
A) 10 kJ
B) 12 kJ
C) 14 kJ
D) 16 kJ
E) 18 kJ

Question

Quizplus · Accepted Answer

The internal energy of a monatomic ideal gas is given by:$$U = \frac{3}{2}nRT$$where:* $U$ is the internal energy in joules* $n$ is the number of moles of gas* $R$ is the ideal gas constant ($8.314 \ J/mol \ K$)* $T$ is the temperature in kelvinsPlugging in the given values, we get:$$U = \frac{3}{2}(2.7 \ mol)(8.314 \ J/mol \ K)(300 \ K) = 10.0 kJ$$Therefore, the internal energy in 2.7 moles of hydrogen at 300 K is 10 kJ.

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