Answer:
The new temperature is 200 K.
Explanation:
Charles law gives the relationship between temperature and volume of a gas. It states that volume is directly proportional to temperature such that,
[tex]V\propto T\\\\\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}[/tex]
We have,
[tex]T_1=100\ K\\\\V_1=500\ mL\\\\V_2=1000\ mL\\\\T_2=?[/tex]
Plugging all the values,
[tex]T_2=\dfrac{V_2T_1}{V_1}\\\\T_2=\dfrac{1000\times 100}{500}\\\\T_2=200\ K[/tex]
So, the new temperature is 200 K.