Question

A given amount of gas A is confined in a chamber of constant volume. When the chamber is immersed in a bath of melting ice, the pressure of the gas is 100 cmHg.

1. What is the temperature when the pressure is 10cmHg?
2. What will be the pressure when the chamber is brought to 100°C

Answer 1

(a) V₁ = V₂ = V
P₁ = 100 cm Hg
T₁ = 273 K
P₂ = 10 cm Hg
T₂= ?

`("P"_1 "V"_1)/"T"_1 = ("P"_2 "V"_2)/"T"_2`

`(100 xx"V")/273 = (10 xx"V")/"T"_2`

`"T"_2 = 27.3 "K"`

(b) V₁ = V₂ = V
P₁ = 100 cmHg
P₂= ?
T₁ = 273 K
T₂ = 373 K

`("P"_1 "V"_1)/"T"_1 = ("P"_2 "V"_2)/"T"_2`

`(100 xx"V")/273 = ("P"_2 xx"V")/373`

`"P"_2 = 136.63  "cm of Hg"`