The number of balloons that can be filled by the container of helium is 380.
To calculate the number of balloons that can be filled, we use the formula below.
Formula:
- N = PVT'/P'V'T........... Equation 1\
Where:
- N = Amount of balloons that can be filled by the container
- P = Pressure of helium in the container
- V = Volume of helium the container
- T = Temperature of the container
- P' = Pressure of the balloon
- V' = Volume of the balloon
- T' = Temperature of the balloon.
From the question,
Given:
- P = 150 atm
- V = 20 L
- T = 30 °C = 203 K
- P' = 1.05 atm
- V' = 5 L
- T' = 22 °C = 295 K
Substitute these values into equation 1
- N = (150×20×295)/(5×1.05×203)
- N = 380.4 balloons
- N ≈ 380 balloons.
Hence, the number of balloons that can be filled by the container of helium is 380.
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