Question

a balloon containing nitrogen gas (n₂) has a volume of 12 liters at 300.5 kelvins. the balloon is heated to a final temperature of 324.9 kelvins. what is the final volume of the n₂ gas after it is heated? assume ideal gas behavior and a constant pressure. write your answer to the correct number of significant figures. round if necessary. liters submit

Explanation:

Step1: Apply Charles's Law formula

Charles's Law (constant pressure): $\frac{V_1}{T_1} = \frac{V_2}{T_2}$
Rearrange to solve for $V_2$: $V_2 = V_1 \times \frac{T_2}{T_1}$

Step2: Substitute given values

$V_1=12\ \text{L}$, $T_1=300.5\ \text{K}$, $T_2=324.9\ \text{K}$
$V_2 = 12 \times \frac{324.9}{300.5}$

Step3: Calculate and round sig figs

First compute $\frac{324.9}{300.5} \approx 1.0812$
Then $12 \times 1.0812 \approx 13$ (2 significant figures, matching $V_1$)

Answer:

13 liters