Question

Air fills a room with a volume of 5600 L. Atmospheric pressure is 740 torr. What will be the pressure if all of the gas is pumped into an 80 L tank? Convert this pressure to kPa.

Answer 1

`P_2 = 6.9* 10^3 kpa`

Step-by-step explanation:

Assuming that temperature is constant

According to Boyle's Law, at constant temperature pressure is inversly proportional to the volume and mathematically it can be expressed as:

`P_1V_1 = P_2V_2`..........1

`P_1=740torr`

`P_2=?`

`V_1=5600L`

`V_2=80L`

from the first equation after putting all the value

we get,

`P_2=51800torr =6906098.7Pa=6.91 * 10^3 kpa`

`P_2 = 6.9* 10^3 kpa`