Two moles of gas A spontaneously convert to 3 moles of gas B in a container where the temperature and pressure are held constant. The sample originally took up 36.2 L of volume. What is the new volume of the products?
A) 24.1 L
B) 109 L
C) 72.4 L
D) 7.24 L
E) 54.3 L

Question

Quizplus · Accepted Answer

Under constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of the gas (according to Avogadro's law). Since 2 moles of gas A convert to 3 moles of gas B, the volume occupied by the gas will increase in the same ratio, from 2 to 3. Therefore, the new volume is $36.2 \, \text{L} \times \frac{3}{2} = 54.3 \, \text{L}$.

Two Moles of Gas a Spontaneously Convert to 3 Moles