Final answer:
To find the volume of the air in the balloon after it is heated, we can use the ideal gas law. The volume of the air in the balloon after it is heated is approximately 916,043.57 L.
Step-by-step explanation:
To find the volume of the air in the balloon after it is heated, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. We need to convert the temperatures from Celsius to Kelvin by adding 273.15 to each of them. We can then solve for the new volume using the equation:
V2 = (V1 * T2) / T1
In this case, V1 is the initial volume of the air in the balloon, T1 is the initial temperature, T2 is the final temperature, and V2 is the final volume we want to calculate.
Plugging in the values, we have:
V2 = (1.21×10^6 * (127 + 273.15)) / (11 + 273.15)
V2 = 916043.57 L
Therefore, the volume of the air in the balloon after it is heated is approximately 916,043.57 L.