Answer 1

Given:

T₁ = Initial temperature = 0°C = 0 + 273.15 = 273.15 K,
V₁ = Initial volume = 2 dm³
T₂ = Final temperature = 273.15 K − 10 = 263.15 K

To find: V₂ = Final volume

Formula: `"V"_1/"T"_1="V"_2/"T"_2` (at constant n and P)

Calculation:

According to Charles’ law,

`"V"_1/"T"_1="V"_2/"T"_2` (at constant n and P)

∴ V₂ = `("V"_1"T"_2)/"T"_1=(2xx263.15)/273.15` = 1.927 dm³

The new volume of a given mass of gas is 1.927 dm³