Final answer:
To find the new volume of the balloon at 346 K when the initial volume is 3.0 L and the initial temperature is 296 K, we can use Charles's Law and set up a proportion. By solving for the new volume, we find that the volume is approximately 3.55 liters at 346 K.
Step-by-step explanation:
To find the new volume of the balloon at 346 K, we can use Charles's Law, which states that at constant pressure, the volume of a gas is directly proportional to its temperature.
We can set up a proportion using the initial volume and temperature and the final temperature:
V1/T1 = V2/T2
Plugging in the values, we have:
3.0 L / 296 K = V2 / 346 K
Solving for V2, we get:
V2 = (3.0 L * 346 K) / 296 K = 3.55 L
Therefore, the volume of the balloon at 346 K is approximately 3.55 liters.