Calculating Balloon Filling Capacity Using Gas Laws

[icystrike]

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...
$$\frac{250.66...}{1.5}\approx167.1$$

 

[Borek]

Seems like you are right, they are wrong.