The mass of one steel screw is 4.11 , g. Find | vedclass

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(A) The mass of one mole of screws is calculated by multiplying the mass of one screw by Avogadro's number $(N_A = 6.022 	imes 10^{23})$.Mass of $1 \

Vedclass · Accepted Answer

$2400$

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(A) The mass of one mole of screws is calculated by multiplying the mass of one screw by Avogadro's number $(N_A = 6.022 	imes 10^{23})$.Mass of $1 	ext{ mole of screws} = 4.11 \, g 	imes 6.022 	imes 10^{23} \approx 2.475 	imes 10^{24} \, g$.Converting this to kilograms: $2.475 	imes 10^{24} \, g = 2.475 	imes 10^{21} \, kg$.Now,compare this with the mass of the Earth $(5.98 	imes 10^{24} \, kg)$:Ratio $= \frac{	ext{Mass of the Earth}}{	ext{Mass of 1 mole of screws}} = \frac{5.98 	imes 10^{24} \, kg}{2.475 	imes 10^{21} \, kg} \approx 2.416 	imes 10^3 \approx 2400$.Thus,the Earth is approximately $2400$ times heavier than one mole of steel screws.

The mass of one steel screw is $4.11 \, g$. Find the mass of one mole of these steel screws. Compare this value with the mass of the Earth $(5.98 \times 10^{24} \, kg)$. Which one of the two is heavier and by how many times?

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