What happens to the density of the air in the balloon as it is heated?

Also, based on this question.... What would be the Independent variable, Depended Variable, controlled Variab

The density of air in a balloon changes as it is heated. To understand this, we can consider the gas law called "Ideal Gas Law." According to the ideal gas law, the density (ρ) of a gas is directly proportional to its pressure (P) and inversely proportional to its temperature (T):

ρ = P / (R * T)

Where:
ρ = density of gas
P = pressure of gas
R = gas constant
T = temperature of gas

When a balloon is heated, the temperature of the air inside the balloon increases. As a result, the density of the air decreases. This happens because, according to the ideal gas law, when the temperature increases, the denominator (T) increases, causing the overall density of the gas to decrease.

Now, let's relate the concept of independent, dependent, and controlled variables to this question:

Independent variable: The independent variable is the factor that is intentionally manipulated or changed during an experiment. In this case, the independent variable would be the temperature being applied to the air inside the balloon. The researchers can control the amount of heat supplied and measure the effect on the air density.

Dependent variable: The dependent variable is the factor that changes in response to the independent variable. In this case, the dependent variable would be the density of the air inside the balloon. It depends on the temperature applied to the air.

Controlled variables: These are the factors that are kept constant during an experiment to ensure that only the independent variable influences the dependent variable. In this case, possible controlled variables could include the initial air pressure, the volume of the balloon, and the composition of the air inside the balloon. By keeping these variables constant, researchers can isolate the effect of temperature on the air density.

By conducting an experiment where the temperature of the air inside a balloon is progressively increased while measuring the changes in density, researchers can determine the relationship between temperature and air density.