Q.

A correct relationship between density and pressure of a gas is

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a

d=K'·p at constant volume

b

d=K'·p at constant temperature

c

d=K'·1p at constant temperature

d

d=1K'·p at constant volume

answer is B.

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Detailed Solution

A relationship can be obtained between density and pressure of a gas by using Boyle's law,p=K1·1V  d=mV,d= density ∴ V=md,  p=K1·dm∴ d=mK1·p=K'pThis shows that at a constant temperature, pressure is directly proportional to the density of a fixed mass of the gas.
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A correct relationship between density and pressure of a gas is