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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.

Respuesta :

Answer:

[tex]P_2 = 6.9\times 10^3 kpa[/tex]

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:

[tex]P_1V_1 = P_2V_2[/tex]..........1

[tex]P_1=740torr[/tex]

[tex]P_2=?[/tex]

[tex]V_1=5600L[/tex]

[tex]V_2=80L[/tex]

from the first equation after putting all the value

we get,

[tex]P_2=51800torr =6906098.7Pa=6.91 \times 10^3 kpa[/tex]

[tex]P_2 = 6.9\times 10^3 kpa[/tex]

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