Answer:
578.8 L
Explanation:
In order to solve this problem, we can use the equation of state for an ideal gas, which states that:
where
p is the pressure of the gas
V is its volume
n is the number of moles
R is the gas constant
T is the absolute temperature of the gas
The equation can also be rewritten as
For a gas transformation, the term on the right (nR) is constant, so we can write:
where in this problem:
is the initial pressure of the gas
is the initial volume
is the initial temperature
is the final pressure
is the final temperature
Solving for V2, we find the final volume of the balloon: