One atom of an element weighs 6.644 x 10^-23 grams. The number of gram atoms in 40 kg of it is 10^x. The value of x is:

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Solution

$M a s s o f 1 a t o m o f e l e m e n t = 6.644 \times 10^{- 23} g M a s s o f 6.023 \times 10^{23} a t o m s = 40.01 g S o, 40 g o f e l e m e n t = 1 g a t o m 40 K g o f e l e m e n t w i l l h a v e = \frac{1}{40} \times 40000 = 1000 = 10^{3} g a t o m S o, 10^{x} = 10^{3} x = 3$

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