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How is the pressure of a gas related to ...

How is the pressure of a gas related to its density at a particular temperature ?

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Pressure is related to density of a gas as :
`p=(rhoRT)/(M)`
i.e., pressure is directly proportional to density of the gas at a particular temperature.
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Knowledge Check

  • The curve of pressure volume (PV) against pressure (P) of the gas at a particular temperature is as shown, according to the graph. Which of the following is incorrect (in the low pressure region)?

    A
    `H_(2)` and He shows +ve deviation from ideal gas equation
    B
    `CO, CH_(4)` and `O_(2)` show negative deviation from ideal gas equation.
    C
    `H_(2)` and He show negative deviation while `CO_(2), CH_(4)` and `O_(2)` show positive deviation
    D
    `H_(2)` and He are less compressible than that of an ideal gas while `CO_(2),CH_(4)` and `O_(2)` more compressible than that of ideal gas.

  • The curve of pressure volume (PV) against pressure (P) of the gas at a particular temperature is as shown, according to the graph which of the following is/are incorrect (in low pressure region):

    A
    `H_2` and He show positive deviation from ideal gas equation
    B
    CO, `CH_4` and `O_2` show negative deviation from ideal gas equation
    C
    `H_2` and He show negative deviation while `CO_2,CH_4` and `O_2` show positive deviation
    D
    `H_2` and He are less compressible than that of an ideal gas while `CO_2, CH_4` and `O_2` more compressible than that of ideal gas.

  • The curve of pressure volume (PV) against pressure (P) of the gas at a particular temperature is as shown, according to the graph which of the following is incorrect (in the low pressure region):

    A
    `H_(2)` and He shows +ve deviation from ideal gas equation.
    B
    `CO, CH_(4)` and `O_(2)` show negative deviation from ideal gas equation.
    C
    `H_(2)` and He show negative deviation while `CO, CH_(4)` and `O_(2)` show positive deviation.
    D
    `H_(2)` and He are less compressible than that of an ideal gas while `CO, CH_(4)` and `O_(2)` more compressible than that of ideal gas.
    • MODERN PUBLICATION-STATES OF MATTER : GASES AND LIQUIDS-Conceptual Questions (1)
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    4. What is molar volume of an ideal gas under N.T.P. conditions ?

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    9. How is the mole fraction of a gaseous component related to its partial...

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    10. What type of graph would you get when PV is plotted against P at const...

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    11. Why vegetables are cooked with difficulty at a hill station?

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    12. What would be the SI unit for the quantity pV^(2)T^(2)//n?

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