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A non-rigid balloon is held in a chamber set at 293 K and 1 atm of pressure. The balloon's volume is 0.05 m³. If the pressure in the room is increased to 5
atm, what is the new volume of the balloon?

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A non-rigid balloon is held in a chamber set at 293 K and 1 atm of pressure. The balloon's volume is 0.05 m³. If the pressure in the room is increased to 5 atm, then the new volume of the balloon would be 0.01 meter³

What is an ideal gas?

It is an imaginary gas for which the volume occupies by it is negligible, this gas does not exist in a practical situation and the concept of an ideal gas is only the theoretical one, the real gases approach the behaviors of an ideal gas at a very high temperature and very low pressure.

By using Boyle's law

P₁V₁=P₂V₂

Where P₁, and V₁, are initial pressure and  volume

and P₂ and  V₂, are the final pressure and volume

By substituting the values in the above equation

P₁ = 1 atm

V₁= 0.05 meter³

P₂ = 5.0 atm

V₂= ? meter³

The only unknown term which we have to find is the final volume of the balloon

1.0 ×0.05=5.0×V₂

V₂ =0.01 meter³

Thus, the new volume of the balloon would be 0.01 meter³

Learn more about ideal gas from here

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