Question

A gas at 400k and 10.0 L expands to 20.0 L what is its new temperature in kelvin

Answer 1

Its new temperature is 800 kelvin

Step-by-step explanation:

Charles's Law is a gas law that relates the volume and temperature of a certain amount of gas at constant pressure. For a given sum of gas at a constant pressure, as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases because the temperature is directly related to the energy of the movement of the gas molecules. . This is reflected in the following relationship:

`(V)/(T) =k`

If you have a certain volume of gas V1 that is at a temperature T1 at the beginning of the experiment, by varying the volume of gas to a new value V2, then the temperature will change to T2, and it will be true:

`(V1)/(T1)=(V2)/(T2)`

In this case:

• V1= 10 L
• T1= 400 K
• V2= 20 L
• T2=?

Replacing:

`(10L)/(400 K) =(20L)/(T2)`

Solving:

`T2=(20L)/((10L)/(400 K) )=(20L*400 K)/(10 L)`

T2= 800 K

Its new temperature is 800 kelvin