Question

A given amount of gas A is confined in a chamber of constant volume. When the champber is immersed in a bath of melting ice, the pressure of the gas is 100 cm Hg.
(a) What is the temperature, when the pressure is 10 cm Hg?
(b) What will be the pressure, when the chamber is brought to ${10}^{\circ }C.$

Answer 1

a)The temperature for the melting ice would be C = 273 K
1. Pressure and temperature has direct relationship.
P₁/T₁ = P₂/T₂
​P1 = 100 cm Hg
T1 = 273 K
P2 = 10 cm Hg
T₂ = P₂ x T₁/P₁
​ = 10 cm Hg x 273 K/100 cm Hg
= 27.3 K

2. P₁/T₁ = P₂/T₂
​P1 = 100 cm Hg
T1 = 273 K
T2 = 10 + 273 = 283K
P2 = $\frac{100}{273}\times 283$
= 103.66 cm Hg