Answer :
Answer:
The new volume of the gas is 2 m³
Explanation:
It is given that,
Initial temperature, [tex]T_1=5\ K[/tex]
Initial volume, [tex]V_1=1\ m^3[/tex]
Final temperature, [tex]T_2=10\ K[/tex]
We need to find the new volume. The Charles law gives the relation between the temperature and the volume of the gas.
i.e
[tex]V\propto T[/tex]
[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]
[tex]V_2=\dfrac{V_1}{T_1}\times T_2[/tex]
[tex]V_2=\dfrac{1}{5}\times 10[/tex]
[tex]V_2=2\ m^3[/tex]
So, the new volume of the gas is 2 m³. Hence, this is the required solution.