Charles's Law states that the volume V occupied by a gas (at a constant pressure) is directly proportional to its absolute temperature T. An experiment with a balloon shows that the volume of the balloon is 1.2 liter at 270 K (absolute temperature). What will the volume of the balloon be when its temperature is 324 K?

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Mathematics

Lexie Duarte

1 February, 13:46

Charles's Law states that the volume V occupied by a gas (at a constant pressure) is directly proportional to its absolute temperature T. An experiment with a balloon shows that the volume of the balloon is 1.2 liter at 270 K (absolute temperature). What will the volume of the balloon be when its temperature is 324 K?

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Ezra Mcdowell 1 February, 15:33
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Shiloh · Answer 1

Answer: V = 1.44 liters

Step-by-step explanation:

Charles's Law states that the volume V occupied by a gas (at a constant pressure) is directly proportional to its absolute temperature T. Introducing a constant of proportionality, k, the expression becomes

V = KT

An experiment with a balloon shows that the volume of the balloon is 1.2 liter at 270 K. Therefore, we will substitute V = 1.2 and T = 270 into the equation to determine K. It becomes

1.2 = K*270

K = 1.2/270 = 0.0044

The equation becomes

V = 0.0044T

To determine the volume of the balloon when its temperature is 324 K, we will substitute T = 324 into the equation. It becomes

V = 0.0044*324 = 1.44 litres