Respuesta :
Boyle's law gives the relationship between pressure and volume of gas. It states that for a fixed amount of gas at constant temperature, pressure is inversely proportional to volume of gas.
PV = k
where P - pressure, V - volume and k - constant
P1V1 = P2V2
where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation.
substituting the values in the equation
0.947 atm x 150.0 mL = 0.987 atm x V
V = 144 mL
therefore new volume is 144 mL
PV = k
where P - pressure, V - volume and k - constant
P1V1 = P2V2
where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation.
substituting the values in the equation
0.947 atm x 150.0 mL = 0.987 atm x V
V = 144 mL
therefore new volume is 144 mL
Taking into account the Boyle's law, the volume of the gas at a pressure of 0.987 atm if the temperature remains constant will be 143.92 mL.
What is Boyle's law
As the volume increases, the particles (atoms or molecules) of the gas take longer to reach the walls of the container and therefore collide less times per unit of time against them. This means that the pressure will be lower because it represents the frequency of shocks of the gas against the walls. In this way, pressure and volume are related, determining Boyle's law that says:
"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:
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 is true:
P1×V1=P2×V2
What is the final volume
In this case, you know:
- P1= 0.947 atm
- V1=150 mL
- P2= 0.987 atm
- V2= ?
Replacing in Boyle's law:
0.947 atm× 150 mL= 0.987 atm×V2
Solving:
(0.947 atm× 150 mL)÷ 0.987 atm= V2
143.92 mL= V2
Finally, the volume of the gas at a pressure of 0.987 atm if the temperature remains constant will be 143.92 mL.
Learn more about Boyle's law:
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