(a) Based on Boyle’s law how will you show that at a constant tempe

1.	(a) Based on Boyle’s law how will you show that at a constant temperature, pressure is directly proportional to the density of a fixed mass of the gas?(b) Give the relation between density and molar mass of a gaseous substance.
Answer» (a) According to Boyle’s law, p = \(k\times\frac{1}{V}\) OR V = \(\frac{k}{p}\) Density, d = \(\frac{m}{V}\) Substituting the value of V, d = \(\Big(\frac{m}{k}\Big)p\) i.e., d = k'p OR d ∝ p (b) d = \(\frac{pM}{RT}\)

(a) Based on Boyle’s law how will you show that at a constant temperature, pressure is directly proportional to the density of a fixed mass of the gas?(b) Give the relation between density and molar mass of a gaseous substance.

Answer»

(a) According to Boyle’s law,

p = \(k\times\frac{1}{V}\) OR V = \(\frac{k}{p}\)

Density, d = \(\frac{m}{V}\)

Substituting the value of V,

d = \(\Big(\frac{m}{k}\Big)p\)

i.e., d = k'p OR d ∝ p

(b) d = \(\frac{pM}{RT}\)

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(a) Based on Boyle’s law how will you show that at a constant temperature, pressure is directly proportional to the density of a fixed mass of the gas?(b) Give the relation between density and molar mass of a gaseous substance.

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