Question

A gas has a volume of 4.00 L at 0 degrees C. What is the final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if n and P do not change?

A. 1.50 L

B. 1200 mL

C. 10.0 L

D. 50.0 mL

Answer 1

volume is directly proportional to Temperature so V/T = constant

V₁ = 4.0 L , T₁= 273 K

V₂ = 1.50 L , T₂ = ?

V₁/T₁ = V₂/T₂

4.0/ 273 = 1.50 / T₂

T₂ = 102.38 K = -170.62 ⁰C

B)

V₁ = 4.0 L , T₁= 273 K

V₂ = 1.20 L , T₂ = ?

V₁/T₁ = V₂/T₂

4.0/ 273 = 1.20 / T₂

T₂ = 81.9 K = -191.1 ⁰C

C)

V₁ = 4.0 L , T₁= 273 K

V₂ = 10.0 L , T₂ = ?

V₁/T₁ = V₂/T₂

4.0/ 273 = 10.0 / T₂

T₂ = 682.5 K = -409.5 ⁰C

D)

V₁ = 4.0 L , T₁= 273 K

V₂ = 0.05 L , T₂ = ?

V₁/T₁ = V₂/T₂

4.0/ 273 = 0.05 / T₂

T₂ = 3.41 K = -269.59 ⁰C