Question

A gas has a volume of 14.5 liters at 10.5C, what is the final temperature of the gas if the volume increase to 36.8 liters?

Answer 1

446.7 °C

Step-by-step explanation:

We are given with two volumes and one temperature, we have to find another temperature.

`V1=14.5\ lit\\T1=10.5\ C=273.15+10.5=283.65\ K\\V2= 36.8 \ lit\\T2=?`

Using Charles-volume temperature law:

This law states that the volume of a given amount of gas held at a constant pressure is directly proportional to kelvin temperature.

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

Plugging the given values.

`(14.5)/(283.65)= (36.8)/(T2)\\T2=(283.65*36.8)/(14.5)\\ T2= 719.88K\\T2= 719.88-273.15\\T2=446.7C`

Thus the final temperature is 446.7 °C