What is the mass of 5 unit cells of sodium element having bcc structure
(molar mass of $Na = 23$ g/mol)?

Question

What is the mass of 5 unit cells of sodium element having bcc structure (molar mass of Na = 23 g/mol)?

TestHub · Accepted Answer

Number of atoms in one bcc unit cell of sodium, $Z = 2$

Number of atoms in $5$ unit cells $= 5 \times 2 = 10$

Mass of one sodium atom $= \frac{M}{N _{A}} = \frac{23}{6.022 \times 1 0 ^{23}} g$

Mass of $5$ unit cells $= 10 \times \frac{23}{6.022 \times 1 0 ^{23}} g$

$= \frac{230}{6.022 \times 1 0 ^{23}} g$

$= 38.193 \times 1 0^{- 23} g$

$= 3.819 \times 1 0^{- 22} g$

Answer: $3.819 \times 1 0^{- 22} g$

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