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Question

extensive properties depend on the quantity of the matter but intensive properties do not.explain whether the following are intensive or extensive:
mass, internal energy, pressure, heat capacity, density , mole fraction,specific heat,temperature, molarity.

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Solution

Dear Student,

Mass : Extensive Dividing in half a tank of air at a given T,P and mass yields two smalller tanks containing air, but the mass of the air in each new, smaller tank is half as it was initially in the one big tank.Internal energy : Extensive Dividing in half a tank of water at a given T,P with a given total internal energy yields two smalller tanks containing water at the same T and P, but the internal energy of the water in each new, smaller tank is half as it was initially in the one big tank.Pressure : IntensiveThe ratio of two extensive properties are also intensivePressure=ForceArea=ExtensiveExtensive=IntensiveHeat capacity : ExtensiveA sample containing twice the amount of substance as another sample requires the transfer of twice the amount of heat to achieve the same change in temperature .Density : IntensiveDensity=MassVolume=ExtensiveExtensive=IntensiveMole fraction : IntensiveMole fraction=MolesTotal moles=ExtensiveExtensive=IntensiveSpecific heat: IntensiveSpecific heat=Heat capacityMass=ExtensiveExtensive=IntensiveTemperature : Intensive Dividing in half a tank of water at a given temperature yields two smaller tanks containing water at the same temperature as that in the big tank. Molarity: IntensiveMolarity=MolesVolume=ExtensiveExtensive=Intensive

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