Calculating Balloon Filling Capacity Using Gas Laws

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SUMMARY

The discussion centers on calculating the number of balloons that can be filled using a helium gas cylinder with a volume of 2.3 L and a pressure of 13,800 kPa at 25°C. Using the ideal gas law equation P₁V₁ = P₂V₂, the calculation shows that approximately 167.1 balloons can be filled, contradicting an initial claim of 1672 balloons. The correct conversion of pressures and volumes is crucial for accurate results in gas calculations.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of pressure and volume units (kPa and atm)
  • Basic algebra for solving equations
  • Familiarity with temperature conversions in gas calculations
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  • Study the Ideal Gas Law and its applications in real-world scenarios
  • Learn about unit conversions between kPa and atm
  • Explore the concept of gas behavior under varying pressures and volumes
  • Review examples of gas calculations in chemistry textbooks
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Students studying chemistry, particularly those focusing on gas laws, as well as educators looking for practical examples of gas calculations in homework scenarios.

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Homework Statement



4. A small cylinder of helium gas used for filling balloons has a volume of 2.3 L and a pressure of 13,800 kPa at 25oC. How many balloons can you fill if each one has a volume of 1.5 L and a pressure of 1.25 atm at 25oC?

The answer they gave me is 1672.

Homework Equations


The Attempt at a Solution


P_{1}V_{1}=P_{2}V_{2}
Since n, R, T remain constant.

2.3 x 13800 = 1.25 x 101.3 x V
V=250.66...
\frac{250.66...}{1.5}\approx167.1
 
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