The Vander Waals constant ' b ' of a gas is 4 π × 1 0 − 4 L / mol . The radius of gas atom can be expressed in scientific notation as z × 1 0 − 9 cm . Calculate the value of z . (Given N A

Question

The Vander Waals constant ' b ' of a gas is 4 π × 1 0 − 4 L / mol . The radius of gas atom can be expressed in scientific notation as z × 1 0 − 9 cm . Calculate the value of z . (Given N A ​ = 6 × 1 0 23 )

TestHub · Accepted Answer

b = 4 × 3 4 ​ π r 3 × N A ​ 4 π × 1 0 − 4 ( L / mol ) = 4 × 3 4 ​ π r 3 × N A ​ 4 π × 1 0 − 7 ( m 3 / mol ) = 4 × 3 4 ​ π r 3 × N A ​ r = 5 × 1 0 − 11 m r = 5 × 1 0 − 9 cm So Z = 5

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