Hot air balloon conductors only partially fill the balloon before they heat the gas. As the gas warms, it expands to fill the balloon. Who's law is this?

Charles' Law

Explanation:

Charles' law states that at constant pressure, the volume of a fixed mass of gas is directly proportional to the absolute temperature. This implies that as the temperature of the gas is increased, the volume of the gas also increases and as the temperature is decreased, the volume also decreases.

From the question given above, we were told that as the gas warms ( i.e increase in temperature), it expands to fill the fill the balloon. This is clearly charles' law because the volume of the gas increased with increasing temperature.

This is Charles' law

Explanation:

Step 1: Data given

We have to show that when the temperature increases the volume of the gas will increase as well

Suppose the balloon is filled with 100 L

The temperature is 100 K

The temperature will be increased to 200K

Step 2: Calculate the new volume

V1/T1 = V2/T2

⇒with V1 = the initial volume = 100 L

⇒with T1 = the initial temperature = 100 K

⇒with V2 = the new volume = TO BE DETERMINED

⇒with T2 = the increased temperature = 200 K

100 L / 100 K = V2 / 200 K

1 = V2 / 200

V2 = 1 * 200 = 200 L

This means when the initial temperature increases ( is doubled), the new volume will increase ( be doubled) as well.

This means when the balloon is partially filled with gas, after heating the volume of this gas will increase.

P/T = constant or  P1/V1 = P2/T2

This is Charles' law

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