Calculating Balloon Filling Capacity Using Gas Laws

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The discussion revolves around calculating the number of balloons that can be filled with helium gas from a cylinder. Given a cylinder volume of 2.3 L at 13,800 kPa and the balloons' volume of 1.5 L at 1.25 atm, the calculation uses the gas law equation P1V1 = P2V2. The initial calculation suggests that approximately 167.1 balloons can be filled, contradicting an earlier answer of 1672. The conclusion indicates a potential error in the initial answer provided.
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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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