The temperature of a gas is 100 K and its volume is 500.0 ml. If the volume increases to 1,000.0 ml,
what is the new temperature of the gas?

Respuesta :

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.