Question

a flexible container holding 2.50 moles of a gas expands from 40.0 l to 52.0 l when some gas is added. pressure and temperature remain constant throughout. how many moles of gas are in the expanded container? n₂ = ? mol

Explanation:

Step1: Apply Avogadro's Law

$\frac{V_1}{n_1} = \frac{V_2}{n_2}$
Rearrange to solve for $n_2$: $n_2 = n_1 \times \frac{V_2}{V_1}$

Step2: Substitute values

$n_2 = 2.50\ \text{mol} \times \frac{52.0\ \text{L}}{40.0\ \text{L}}$

Step3: Calculate result

$n_2 = 2.50 \times 1.3 = 3.25\ \text{mol}$

Answer:

3.25