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I need a little help on my chem. homework i dont understand this ?

the question is:

Explain how the ideal gas law can be simplified to give Avogadro's law, expressed as V/n=k, when the pressure and temperature of a gas are held constant.

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  • 1 decade ago
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    Hi!

    PV = nRT

    This equation basically means at a given amount of pressure a gas contained in a certain volume for a specific amount of gas at kelvin temperature the ideal gas law can apply.

    now the temperature and pressure is at constant.

    Means you can cancel out P and T from both sides of the equation because they remain the same

    So you get

    v = nR

    Now r is a constant used for calculation purposes.

    So we don't need to write the r there

    We can say

    V = n

    Now what does this mean? Volume = moles? Well technically yes. But avogadro's law states that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules/ moles.

    So now since pressure and temperature is constant we can simply write this as V=n where the equal volume of gases equal contain equal number of moles.

    V/n = K

    K is constant to show that pressure and temperature are constant.

    Hope it helps!

    Its just basically cancelling out P and T since it is said in the question it is constant, and R doesn't need to be there. So you can Say volume of Gases contan equal number of moles. or

    V/ n = Volume of equal gases per equal mole at constant pressure and temperature is avogadro's law. I am sorry if i didn't answer you question well. Its hard to explain the whole theory. Hope it helps!

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