A weather balloon has a volume of 750 L when filled with helium at 8^∘ C at a pressure of 380 T

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A weather balloon has a volume of 750 L when filled with...

A weather balloon has a volume of $750 \mathrm{~L}$ when filled with helium at $8^{\circ} \mathrm{C}$ at a pressure of 380 Torr. What is the final volume, in liters, of the balloon, where the pressure is 0.20 atm and the temperature is $-45^{\circ} \mathrm{C},$ when $n$ does not change? (8.5)

Key Concepts

Pressure Conversion

Pressure conversion is important in gas law problems because the units of pressure must be consistent throughout the calculation. Converting all pressure values to a common unit, such as atmospheres or Torr, helps avoid errors and ensures accurate application of the Ideal Gas Law and the Combined Gas Law.

Temperature Conversion

Temperature conversion is crucial when using the Ideal Gas Law or the Combined Gas Law because these equations require absolute temperatures in Kelvin. Converting Celsius to Kelvin ensures that the temperature is on an absolute scale, which is necessary for correctly applying gas laws.

Ideal Gas Law

The Ideal Gas Law, expressed as PV = nRT, is a fundamental equation that relates the pressure, volume, temperature, and moles of a gas. This concept underpins the behavior of gases under various conditions and is essential for solving problems where one or more of these state variables change while the amount of gas remains constant.

Combined Gas Law

The Combined Gas Law is a derived form of the Ideal Gas Law that applies when the amount of gas is constant. It relates the initial and final states of a gas through the equation (P1 × V1) / T1 = (P2 × V2) / T2, combining Boyle’s Law and Charles’s Law. This law is key to understanding how changes in pressure and temperature affect the volume of a gas.

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