Question

Slide 17: Practice Slide #4

At 283K, the gas in a cylinder has a volume of 0.250 L. The gas is allowed to
expand to 0.285 L. What must the final temperature be for the pressure to remain
constant?

Answer 1

T₂ = 322.62 k

Step-by-step explanation:

Given data:

Initial volume = 0.250 L

Initial temperature = 283 K

Final volume = 0.285 L

Final temperature = ?

Solution:

According to Charles's law,

V∝ T

V = KT

V₁/T₁ = V₂/T₂

T₂ = V₂T₁/V₁

T₂ = 0.285 L × 283 K / 0.250 L

T₂ = 80.655 L.K /0.250 L

T₂ = 322.62 k