Question

Atmospheric pressure on the peak of Kilimanjaro can be as low as
0.20 atm. If the volume of an oxygen tank is 10.0L, at what
pressure must the tank be filled so the gas inside would occupy a
volume of 1.2 x 103L at this pressure?
AIR

Answer 1

please give me points please ok

Answer 2

Given: Atmospheric pressure on the peak of Kilimanjaro can be as low as 0.20 atm. The volume of an oxygen tank is 10.0 L. The gas inside would occupy a volume of 1.2×10³ L at this pressure.

To find: The pressure at which the tank must be filled.

Solution:

• According to Boyle's law, pressure on a gas is inversely proportional to the volume of the gas in the container.
• It can also be stated that the product of the pressure and the volume of a gas is constant, provided that the temperature is constant.

        $P_{1} V_{1} = P_{2} V_{2}$

• Here, P₁ is the atmospheric pressure on the peak of Kilimanjaro, V₁ is the volume of the oxygen tank, P₂ is the pressure at which the tank must be filled and V₂ is the volume occupied by the gas.

        $(0.20 atm)(10 L) = (P_{2} ) (1.2* 10^{3} L)$

        $P_{2} = \frac{0.20 * 10}{1200}$

             $= 0.002 atm$

Therefore, the pressure at which the tank must be filled is 0.002 atm.