Question

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?

Answer 1

The new temperature is 200 K.

Step-by-step explanation:

Charles law gives the relationship between temperature and volume of a gas. It states that volume is directly proportional to temperature such that,

`V\propto T\\\\(V_1)/(V_2)=(T_1)/(T_2)`

We have,

`T_1=100\ K\\\\V_1=500\ mL\\\\V_2=1000\ mL\\\\T_2=?`

Plugging all the values,

`T_2=(V_2T_1)/(V_1)\\\\T_2=(1000* 100)/(500)\\\\T_2=200\ K`

So, the new temperature is 200 K.