When a milkshake is taken in through a straw at a pressure of 0.071 atm, the straw contains 5.0 mL of liquid. How much liquid is consumed at 0.092 atm?

Respuesta :

Answer:

3.86 mL

Explanation:

we are given;

  • Initial pressure, P₁ as 0.071 atm
  • Initial volume, V₁ as 5.0 mL
  • New pressure, P₂ as 0.092 atm

We are required to determine the new volume, V₂?

We are going to use Boyle's law;

According to Boyle's law, for a fixed mass of a gas, volume and pressure are inversely proportional, at constant temperature.

That is, P = kV

Therefore;

P₁V₁ = P₂V₂

Hence;

V₂ = P₁V₁ ÷ P₂

    = (0.071 atm × 5.0 mL) ÷ 0.092 atm

    = 3.859 mL

    = 3.86 mL

Thus, the amount of liquid consumed is 3.86 L

The amount of liquid consumed at 0.092 atm is calculated to be 3.86mL.

BOYLE'S LAW:

The volume of a substance at a given pressure can be calculated using Boyle's law as follows:

P1V1 = P2V2

Where;

  • P1 = initial pressure (atm)
  • P2 = final pressure (atm)
  • V1 = initial volume (mL)
  • V2 = final volume (mL)

According to this question, when a milkshake is taken in through a straw at a pressure of 0.071 atm, the straw contains 5.0 mL of liquid. The volume of the liquid consumed at 0.092 atm is:

0.071 × 5 = 0.092 × V2

0.355 = 0.092V2

V2 = 0.355 ÷ 0.092

V2 = 3.86mL.

Therefore, the amount of liquid consumed at 0.092 atm is calculated to be 3.86mL.

Learn more about Boyle's law at: https://brainly.com/question/1437490

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