Is it possible to cool a gas below absolute zero?


No, the gas cannot be cooled below absolute zero. At this temperature, the kinetic energy of the molecules is zero. The molecules come to rest and the pressure also becomes zero. So it is impossible to cool a gas below absolute zero since there is no heat left to be removed from the gas.
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Why is kelvin scale of temperature regarded better than centigrade scale?


The kelvin scale of temperature regarded better than centigrade because it has an only positive value of temperature. We do not have any temperature below zero degrees. But on the centigrade scale of temperature, there can be positive as well as negative temperatures. Further, many equations and relationship (such as Charle’s law) can be written in a much simpler form in terms of kelvin scale (also called Thermodynamic scale of temperature) than in centigrade (or celsius) scale.
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A gas occupies a volume of 300 mL at 740 mm Hg at 20°C. What additional pressure is required to reduce the gas volume to 250 ml at 20°C?


From the given data.



Substituting the values in the above equation,

    

  

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A sample of helium gas has a volume of 500 cm3 at 373K. Calculate the temperature at which the volume becomes 260 cm3. Assume that the pressure is kept constant.


From the given data,

According to Charles' law

                     
    

Putting the values in the above equation,
                             
   

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What pressure must be applied to a given sample of a gas in order to compress it to three-fourth of its original volume ?


According to Boyle’s law
P
1V1 = P2V
From the given data,

          times the original pressure.
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