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MHT CET 202622 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
22 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

MHT CET 2026 · 22 April · Evening Shift · Chemistry · Solid State

Sodium forms bcc structure. The molar mass of sodium is 23 g/mol....

Sodium forms bcc structure. The molar mass of sodium is 2323 g/mol. What is the mass of 33 unit cells of sodium?

Options

  1. A2.2915×10−222.2915 \times 10^{-22} g
  2. B7.638×10−237.638 \times 10^{-23} g
  3. C3.819×10−233.819 \times 10^{-23} g
  4. D1.5277×10−221.5277 \times 10^{-22} g

Correct answer

A. 2.2915×10−222.2915 \times 10^{-22} g

Step-by-step solution

For a bcc structure, the number of atoms per unit cell is Z=2Z = 2.

The mass of one atom of sodium is MNA\dfrac{M}{N_A}, where M=23M = 23 g/mol and NA=6.022×1023N_A = 6.022 \times 10^{23} mol^{-1}.<br><br>Themassofoneunitcellis.<br><br>The mass of one unit cell isZ \times MNA=2×236.022×1023\dfrac{M}{N_A} =2 \times \dfrac{23}{6.022 \times 10^{23}} g.

The mass of 3unitcellsis3×2×236.022×1023unit cells is 3 \times 2 \times \dfrac{23}{6.022 \times 10^{23}} g.

=1386.022×1023= \dfrac{138}{6.022 \times 10^{23}} g

=22.915×10−23= 22.915 \times 10^{-23} g

=2.2915×10−22= 2.2915 \times 10^{-22} g

Answer: 2.2915×10−222.2915 \times 10^{-22} g
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