Question

A sample of gas occupies 324 mL at 40.0°C. What volume will the gas occupy at

20.0°C if there is no change in pressure?

Answer 1

Answer: 303 ml

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=324ml\\T_1=40.0^oC=(40.0+273)K=313.0K\\V_2=?\\T_2=20.0^0C=(20.0+273)K=293.0K`

Putting values in above equation, we get:

`(324)/(313.0)=(V_2)/(293.0)\\\\V_2=303ml`

Thus volume of the gas at 20.0°C if there is no change in pressure is 303 ml