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A gas storage tank has a small leak. The pressure in the tank drops more quickly if the gas is hydrogen or helium than if it is oxygen. Why?

Short Answer

Expert verified

The Hydrogen and helium gas drops more quickly than the oxygen Because oxygen has a higher molar mass than hydrogen and helium.

Step by step solution

01

About Molar Mass of Gas and RMS speed of molecules

The molecular weight (molar mass) of any gas is the mass of one molecule of that gas multiplied by Avogadro's number

The root-mean-square (RMS) velocity is the value of the square root of the mean of the squares of the stacking velocity.

02

Determine in which case pressure drop quickly

when the molecules move from the tank it will have the RMS speed

V=3RTM

where M,RandTare the molar mass, gas constant, and temperature respectively. As is inversely proportional to the molar mass and oxygen has a higher molar mass than hydrogen and helium, so, the Hydrogen and helium gas drops more quickly.

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Most popular questions from this chapter

When energy shortages occur, magazine articles sometimes urge us to keep our homes at a constant temperature day and night to conserve fuel. They argue that when we turn down the heat at night, the walls, ceilings, and other areas cool off and must be reheated in the morning. So if we keep the temperature constant, these parts of the house will not cool off and will not have to be reheated. Does this argument make sense? Would we really save energy by following this advice?

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