liliannac01
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A balloon with a volume of 5.0 L is filled with a gas at 760 torr. If the pressure is reduced to 380 torr without a change in temperature, what will be the volume of the balloon?​

Respuesta :

Stephen46

Answer:

10 L

Explanation:

The new volume can be found by using the formula for Boyle's law which is

[tex]P_1V_1 = P_2V_2[/tex]

Since we are finding the new volume

[tex]V_2 = \frac{P_1V_1}{P_2} \\[/tex]

From the question we have

[tex]V_2 = \frac{5 \times 760}{380} = \frac{3800}{380} = \frac{380}{38} \\ [/tex]

We have the final answer as

10 L

Hope this helps you

Lanuel

By applying Boyle's law, the final volume of this balloon is equal to 10,000 mL.

Given the following data:

Initial volume = 5.0 L.

Final pressure = 380 torr.

Initial pressure = 760 torr.

How to calculate the final volume?

In order to determine the final volume of this balloon, we would apply Boyle's law.

Mathematically, Boyle's law is given by this formula:

PV = k

P₁V₁ = P₂V₂

Where:

  • P represents the pressure.
  • V represents the volume.

Making V₂ the subject of formula, we have:

V₂ = (P₁V₁)/P₂

Substituting the given parameters into the formula, we have;

V₂ = (760 × 5.0)/380

V₂ = 3800/380

V₂ = 10 L

In milliliters, we have:

1 L = 1000 mL

10 L = X mL

X = 1000 × 10

V₂ = 10,000 mL.

Read more on Boyle's law here: https://brainly.com/question/469270

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