How to Make Use of the Ideal Gas Law – Part 1

The ideal gas law, aka the general gas equation, is the equation of state of a hypothetical ideal gas.


It is a good approximation of the behavior of many gases under many conditions despite several limitations, and a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law. The ideal gas law often takes an empirical form:

pV = nRT

where p, V, & T are the pressure, volume and temperature respectively; n is the number of moles; & R is the ideal gas constant.

Mnemonic: piVineRT = parainfluenza Virus ineRT

Question:

A spherical balloon of 0.21 m diameter is to be filled with hydrogen at STP from a cylinder containing the gas at 20 atm & 270C. If the cylinder can hold 2.82 dm3 of water, calculate the number of balloons that can be filled up.

Solution:


Click/tap to enlarge the image

r = Radius
Solution looks ideal❓ Let Chemaficionado know in the comments below or at mychemistryhomework@gmail.com❗

References:

(1)    Wikipedia Contributors. Sphere. Wikipedia.

(2)    Wikipedia Contributors. Ideal gas law. Wikipedia. https://en.wikipedia.org/wiki/Ideal_gas_law.

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