- #1

songoku

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- Homework Statement
- A gas cylinder contains 4.00 × 10^4 cm^3 of hydrogen at a pressure of 2.50 × 10^7 Pa and a temperature of 290 K. The cylinder is to be used to fill balloons. Each balloon, when filled, contains 7.24 × 10^3 cm^3 of hydrogen at a pressure of 1.85 × 10^5 Pa and a temperature of 290 K. Calculate the number of balloons that can be filled from the cylinder

- Relevant Equations
- PV = nRT

##\frac{P_{cylinder}.V_{cylinder}}{P_{balloon}.V_{balloon}}=\frac{n_{cylinder}.R.T}{n_{balloon}.R.T}##

##\frac{n_{cylinder}}{n_{balloon}}=\frac{4 \times 10^4 \times 2.5 \times 10^7}{7.24 \times 10^3 \times 1.85 \times 10^5} \approx 746##

But the teacher said I should take the volume of gas cylinder into consideration. If I did, then the answer should be smaller.

I think I have used volume of gas cylinder into consideration in my working. What is my mistake?

Thanks

##\frac{n_{cylinder}}{n_{balloon}}=\frac{4 \times 10^4 \times 2.5 \times 10^7}{7.24 \times 10^3 \times 1.85 \times 10^5} \approx 746##

But the teacher said I should take the volume of gas cylinder into consideration. If I did, then the answer should be smaller.

I think I have used volume of gas cylinder into consideration in my working. What is my mistake?

Thanks