If the uncompressed gas in the above system has a volume of 300.0 mL at a pressure of 20.0 kPa, what is the volume of the gas when it is compressed to a pressure of 25.0 kPa?

Respuesta :

Answer: 240 mL

Explanation:

(20 kPa)(300 mL) = (25 kPa)V2

V2 = 240 mL

Or my way which was

300 mL / 25 kPa =12

12(5)=60

300-60=240mL

Taking into account the Boyle's law, the volume of the gas when it is compressed to a pressure of 25.0 kPa is 240 mL.

Boyle's law

The gas laws are a set of chemical and physical laws that allow us to determine the behavior of gases in a closed system. The parameters evaluated in these laws are pressure, volume, temperature, and moles.

Boyle's law is one of the gas laws that states that the volume occupied by a given mass of gas at constant temperature is inversely proportional to the pressure.

Boyle's law is expressed mathematically as:

Pressure*Volume=constant

or P×V=k

Now it is possible to assume that you have a certain volume of gas V1 which is at a pressure P1 at the beginning of the experiment. If you vary the volume of gas to a new value V2, then the pressure will change to P2, and the following will be true:

P1×V1=P2×V2

Volume of the gas

In this case, you know:

  • P1= 20 kPa
  • V1= 300 mL
  • P2= 25 kPa
  • V2= ?

Replacing in Boyle's law:

20 kPa× 300 mL= 25 kPa× V2

Solving:

(20 kPa× 300 mL)÷ 25 kPa= V2

240 mL=V2

Finally, the volume of the gas when it is compressed to a pressure of 25.0 kPa is 240 mL.

Learn more about Boyle's law:

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