Question

1. If 100 mL of a gas, originally at 760 torr, is compressed to a pressure of 120 kPa

at constant temperature, what will its final volume be?

Answer 1

Answer : The final volume will be, 84.4 mL

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)`

or,

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure = 760 torr

`P_2` = final pressure = 120 kPa = 900 torr (1 kPa = 7.5 torr)

`V_1` = initial volume = 100 mL

`V_2` = final volume = ?

Now put all the given values in the above equation, we get:

`760torr* 100mL=900torr* V_2`

`V_2=84.4mL`

Therefore, the final volume will be, 84.4 mL