As a birthday balloon is filled with helium, the amount of helium increases from 7.5 moles of helium to 9.5 moles of helium. If the initial volume of the balloon is 25.5 mL, what is the final volume?
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The volume of a gas is directly proportional to the number of moles of the gas, assuming that temperature and pressure remain constant. This is known as Avogadro's law.
So, if the number of moles of helium increases from 7.5 to 9.5, the volume of the balloon will also increase by the same proportion.
We can set up a proportion to solve for the final volume (Vf):
7.5 moles / 25.5 mL = 9.5 moles / Vf
Cross-multiplying gives:
7.5 moles * Vf = 9.5 moles * 25.5 mL
Solving for Vf gives:
Vf = (9.5 moles * 25.5 mL) / 7.5 moles = 32.2 mL
So, the final volume of the balloon is 32.2 mL.
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