Question

A balloon is filled to a volume of 1.50 L with 3.00 moles of gas at 25 °C. With pressure and temperature held constant, what will be the volume of the balloon if 0.30 moles of gas are added?

Answer 1

Avogadro's law states that "equal volumes of all gases, at the same temperature and pressure, have the same number of molecules." For a given mass of an ideal gas, the volume and amount (moles) of the gas are directly proportional if the temperature and pressure are constant.

therefore V₁/n₁=V₂/n₂

=> V₂= V₁n₂/n₁

we have

V₁= 1.50 L

n₂=0.30+3 mol= 3.30 mol

n₁=3.00 mol.

=> V₂= 1.50L×3.30/3.00

=> V₂= 1.65‬ L

the volume of the balloon if 0.30 moles of gas are added= 1.65 L

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