Question

What is the volume of a gas if the gas has a volume of 100.0 L at 135 C. What is the volume of the gas if its temperature decreases to 72.0 C

Answer 1

Answer: The volume of gas is 84.6 L at
`72.6^0C`

Step-by-step explanation:

To calculate the final volume of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1\text{ and }T_1` are the initial volume and temperature of the gas.

`V_2\text{ and }T_2` are the final volume and temperature of the gas.

We are given:

`V_1=100.0L\\T_1=135^oC=(135+273)K=408K\\V_2=?\\T_2=72.0^0C=(72.0+273)K=345K`

Putting values in above equation, we get:

`(100.0L)/(408K)=(V_2)/(345K)\\\\V_2=84.6L`

Thus the volume of gas is 84.6 L at
`72.6^0C`