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A balloon is blown up in the morning (23 Celsius) to a volume of 1.00 liter. If this balloon is left in a hot car with the windows left up and the car warms up to 35 Celsius, what will be the final volume of the balloon?

Respuesta :

henryharrison

Explanation:

The temperature of the gas is directly proportional to the volume the gas is occupying provided the pressure is constant.

so;

v/t = constant

1/(273+23) = v/(273+35)

v = 308 / 296

asuwafohjames

The final volume of the balloon is 1.03 L.

To calculate the final volume of the balloon, we apply Charles's law

What is Charles's law?

States that trhe volume of a fixed mass of gas is directly proportional to its temperature at constant pressure.

Formula:

  • V₁/T₁ = V₂/T₂............... Equation 1

Where:

  • V₁ = Initial volume of the balloon
  • T₁ = initial temperature of the balloon
  • V₂ = final volume of the balloon
  • T₂ = final temperature of the balloon

Make V₂ The subject of the equation

  • V₂ = V₁T₂/T₁............. Equation 2

From the question,

Given:

  • V₁ = 1 L
  • T₁ = 23 °C = (273+23) K = 300 K
  • T₂ = 35 °C = (273+35) K = 308 K

Substitute these values into equation 2

  • V₂ = (1×308)/300
  • V₂ = 1.03 L

Hence, The final volume of the balloon is 1.03 L.

Learn more about Charles's law here: https://brainly.com/question/16927784

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