Question

A sample of krypton gas with a volume of 10.00 L has a temp of 303 K and exerts

a pressure of 2.47 atm. What is the final volume if the temp increases to 450 K and
pressure remains constant?

Answer 1

Answer: The final volume will be 14.85 L.

Step-by-step explanation:

To calculate the final volume when temperature increases, we use Charles' Law.

This law states that volume is directly proportional to the temperature of the gas if number of moles and pressure remains constant.

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

where,

`V_1\text{ and }T_1` = Initial volume and temperature

`V_2\text{ and }T_2` = Final volume and temperature

We are given:

`V_1=10L\\ T_1=303K\\ V_2=?L\\ T_2=450K`

Putting values in above equation, we get:

`(10L)/(303K)=(V_2)/(450K)`

`V_2=14.85L`

Hence, the final volume of the gas is 14.85L