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Question: Potassium distance 4.525 Å. Its molecular weight is 39. Its density in kg/m<sup>3</sup> is....

Potassium distance 4.525 Å. Its molecular weight is 39. Its density in kg/m3 is.

A

900

B

494

C

602

D

802

Answer

900

Explanation

Solution

Density ρ=nAN(a)3\rho = \frac{nA}{N(a)^{3}}

where n = 2 for bcc structure , A = 39 × 10–3 kg,

N = 6.02 × 1023, a =23d=23×(4.525×1010)m= \frac{2}{\sqrt{3}}d = \frac{2}{\sqrt{3}} \times (4.525 \times 10^{- 10})m

(d = nearest neighbour distance = distance between centres of two neighbouring atoms =a2= \frac{a}{\sqrt{2}})

On putting the values we get ρ = 907