A Ballon Is Filled With 73 L If Air At 1.3 Atm Pressure. What Pressure Is Needed To Change The Volume To 43 L?

A ballon is filled with 73 L If air at 1.3 atm pressure. What pressure is needed to change the volume to 43 L?

 

Hello!

A ballon is filled with 73 L If air at 1.3 atm pressure. What pressure is needed to change the volume to 43 L ?

We have the following information:

V1 (initial volume) = 73 L

V2 (final volume) = 43 L

P1 (initial pressure) = 1.3 atm

P2 (final pressure) = ? (in atm)

We have an isothermal transformation, that is, its temperature remains constant, if the volume of gas in the container decreases, then its pressure increases since it is known that pressure and volume of a gas are inversely proportional. Applying the data to the formula of Boyles Law, we have:

P_1*V_1 = P_2*V_2

1.3*73 = P_2*43

94.9 = 43\:P_2

43\:P_2 = 94.9

P_2 = \dfrac{94.9}{43}

\boxed{\boxed{P_2 \approx 2.207\:atm}}\end{array}}\qquad\checkmark

Answer:

The pressure is approximately 2.207 atm

_______________________________

I Hope this helps, greetings ... Dexteright02! =)


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