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

Answer:

$P_2 = 6.9\times 10^3 kpa$

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,

$P_2=51800torr =6906098.7Pa=6.91 \times 10^3 kpa$

$P_2 = 6.9\times 10^3 kpa$