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A balloon has a pressure of 3.5atm and a volume of 4.2L. What will the volume of the balloon be if the pressure is increased to 7.0atm? Assume that temperature remains constant. SHOW ALL WORK FOR FULL CREDIT!​

Sagot :

2.1 L

P1V1 = P2V2

P1 = 3.5 atm
V1 = 4.2 L
P2 = 7.0 atm
V2 = ?

Solve for V2 —> V2 = P1V1/P2
V2 = (3.5 atm)(4.2 L) / (7.0 atm) = 2.1 L

The volume of the balloon is 2.1L.

What is volume?

Volume is the amount of space the matter occupies. The SI unit of volume is cubic meter.

Using Boyles law equation,

P1V1 = P2V2

Where P1 and V1 are the initial pressure and volume of the gas

           P2 and V2 are the final pressure and volume of the gas

Given:

P1 = 3.5atm

V1 = 4.2L

P2 = 7.0atm

V2 = ?

Solve for V2 ,

V2 = P1V1/P2

V2 = (3.5atm x 4.2 L) / (7.0atm)

     = 2.1L

Hence, the volume of the balloon is 2.1L.

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