Question

The mass of one steel screw is 4.11g. Find the mass of one mole of these steel screws. Compare this value with the mass of the Earth (5.98 × 1024kg). which one of the two is heavier and by how many times?

June 30, 2024

Answer

1 mole of steel screws = 6.022 x 10²³ screws

Mass of 1 screw = 4.11g

∴ Mass of 1 mole of screws = 4.11 x 6.022 × 10²³ g

= 24.75 x 10²³ g

= 2.475 x 10²⁴ g

One mole of screw weighs = 2.475 x 10²⁴ g

= 2.475 x 10²¹ kg

Mass of the substance/Molar mass

= 5.98 × 10²⁴ kg / 2.475 × 10²¹ kg

= 2.4 x 10³

Mass of Earth is 2.4 × 10³ times the mass of screws.

The Earth is 2400 times heavier than one mole of screws.

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