How much time would it take to distribute one Avogadro number of wheat grains, if 10 10 grains are distributed each second? - Wired Faculty

States Of Matter

Question

How much time would it take to distribute one Avogadro number of wheat grains, if 10¹⁰grains are distributed each second?

Solution

One Avogadro number = 6·022 × 10²³Now 10¹⁰ grains are distributed in 1 second

therefore space space 6.022 space cross times space 10 to the power of 23 space grains space would space be space distributed space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 6.022 space cross times space 10 to the power of 23 over denominator 10 to the power of 10 end fraction seconds space space space space space space space space space space space space space space space space space space space space space space space equals space 6.022 space cross times space 10 to the power of 13 space seconds space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 6.022 space cross times space 10 to the power of 13 over denominator 60 space cross times space 60 space cross times 24 space cross times 365 end fraction years space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.9089 space cross times space 10 to the power of 16 space years space approx.

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