Answer to Question #116161 in Chemistry for shelo

Question

If a flexible container has an internal volume of 409 liters and gets heated from 92K to 19K what will the final pressure be in atmospheres (atm)? The initial pressure is 33 atm, and the final volume is 472 liters. Round your answer to the nearest whole number.

Answer 1

P₁ = 33 atm

V₁ = 409 L

T₁ = 92 K

P₂ = unknown

V₂ = 472 L

T₂ = 19 K

Solution:

Combined Gas Law:

P₁V₁/T₁ = P₂V₂/T₂

or

P₁V₁T₂ = P₂V₂T₁

Thus:

(33 atm) × (409 L) × (19 K) = P₂ × (472 L) × (92 K)

(256443 atm L K) = P₂ × (43424 L K)

P₂ = (256443 atm L K) / (43424 L K) = 5.906 atm = 6 atm

P₂ = 6 atm

Answer: The final pressure will be 6 atm.