BrennaMidn
Answered

Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Our experts are ready to provide prompt and detailed answers to any questions you may have.

A cylinder of an ideal gas contains 1.2 moles of gas and occupies a volume of 5.0L. If 0.5 moles of a second gas are added to the cylinder, and the cylinder is allowed to expand until it reaches the same temperature and pressure as before, what is the final volume of gas, in liters, that occupies the cylinder?

Sagot :

Eduard22slyidn

Answer:

7.08 L

Explanation:

From the question given above, the following data were obtained:

Initial mole (n₁) = 1.2 moles

Initial volume (V₁) = 5 L

Final mole (n₂) = 1.2 + 0.5 = 1.7 moles

Final volume (V₂) =?

From ideal gas equation,

PV = nRT

Divide both by n

PV / n = RT

Divide both side by P

V / n = RT/P

RT/P => constant

Therefore,

V₁ / n₁ = V₂ / n₂

With the above formula i.e

V₁/n₁ = V₂/n₂

We can obtain the final volume of the gas as follow:

Initial mole (n₁) = 1.2 moles

Initial volume (V₁) = 5 L

Final mole (n₂) = 1.7 moles

Final volume (V₂) =?

V₁/n₁ = V₂/n₂

5 / 1.2 = V₂ / 1.7

Cross multiply

5 × 1.7 = 1.2 × V₂

8.5 = 1.2 × V₂

Divide both side by 1.2

V₂ = 8.5 / 1.2

V₂ = 7.08 L

Therefore, the final volume of the gas is 7.08 L

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.