Final answer:
To find the temperature at which the balloon will burst, we can use Charles's law, which states that the volume of a gas is directly proportional to its temperature. By setting up a proportion, we can find the temperature at which the balloon bursts.
Step-by-step explanation:
To determine the temperature at which the balloon will burst, we can use the principle of Charles's law. Charles's law states that the volume of a gas is directly proportional to its temperature, assuming a constant pressure and amount of gas. In this case, we know the initial volume (2451 L) and initial temperature (318 K) when the balloon is filled. We can set up a proportion to find the temperature at which the balloon bursts:
(Initial Volume) / (Initial Temperature) = (Burst Volume) / (Burst Temperature)
Plugging in the given values:
(2451 L) / (318 K) = (4856 L) / (Burst Temperature)
Now we can solve for the burst temperature:
Burst Temperature = (4856 L) / [(2451 L) / (318 K)]
Using this equation, the temperature at which the balloon will burst can be calculated.