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What is the new volume in liters if 3500 mL of gas is cooled from 80 °C to 25 °C and pressure remains constant? I know the answer is 2.95 L. Please show your work.

User Mateusz Drost
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1 Answer

4 votes
4 votes

Answer:

2.95 L

Step-by-step explanation:

To find the new volume, you need to use the Charles' Law equation:

V₁ / T₁ = V₂ / T₂

In this equation, "V₁" and "T₁" represent the initial volume and temperature. "V₂" and "T₂" represent the final volume and temperature. Since you want your final volume in liters, you first need to convert 3,500 mL to L. Then, you need to convert the temperatures from Celsius to Kelvin. Finally, you can plug the given values into the equation and simplify to find "V₂".

V₁ = 3,500 mL / 1,000 = 3.5 L V₂ = ? L

T₁ = 80°C + 273 = 353 K T₂ = 25°C + 273 = 298 K

V₁ / T₁ = V₂ / T₂ <----- Charles' Law equation

(3.5 L) / (353 K) = V₂ / (25°C) <----- Insert values

0.00992 = V₂ / (298 K) <----- Divide left side

2.95 = V₂ <----- Multiply both sides by 298 K

User Luca Anzalone
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