Merry is a lab technician with a manufacturer of medical supplies. She is using Boyle's Gas Law to test the pressure inside a syringe her company will distribute for drawing blood. When the plunger of a syringe is at a volume of 2 cubic centimeters, the pressure inside the syringe is 0.4 lbs/psi. Which equation could Merry use to find the pressure inside the syringe when the volume is 6 cubic centimeters ?

Respuesta :

Answer:

The pressure inside the syringe is 1.2 lbs/psi when the volume is 6 cubic centimeters.              

Step-by-step explanation:

We are given the following in the question:

When the plunger of a syringe is at a volume of 2 cubic centimeters, the pressure inside the syringe is 0.4 lbs/psi.

Boyle's Gas Law

  • It states that the pressure of a gas is inversely proportional to volume of gas at a given temperature.

Thus, we can write:

[tex]\dfrac{p_1}{v_1} = \dfrac{p_2}{v_2}[/tex]

We have to find  the pressure inside the syringe when the volume is 6 cubic centimeters.

Putting values, we get,

[tex]\dfrac{0.4}{2} = \dfrac{p_2}{6}\\\\p_2 = \dfrac{6\times 0.4}{2} = 1.2[/tex]

Thus, the pressure inside the syringe is 1.2 lbs/psi when the volume is 6 cubic centimeters.

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