The pyknometric density of sodium chloride crystal is 2-165 - 103 kgm -3 while its X-rays density is 2-178 - 103 kgm -3- The fraction of unoccupied sites in sodium chloride crystal is -CBSE PMT 2003-A- 5-96B- 5-96 - 10-2C- 5-96 - 10-1D- 5-96 - 10-3

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Molarity

The pyknometr...

Question

The pyknometric density of sodium chloride crystal is 2.165×10³ kgm^-3 while its X-rays density is 2.178×10³ kgm^-3. The fraction of unoccupied sites in sodium chloride crystal is
[CBSE PMT 2003]

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Solution

Explanation:
Molar volume from pyknometric density = $\frac{M}{d} = \frac{M}{2.165 \times 10^{3}} m^{3}$
Molar volume from X-ray density = $\frac{M}{d} = \frac{M}{2.178 \times 10^{3}} m^{4}$
$∴$ Volume unoccupied = $\frac{M}{10^{3}} (\frac{1}{2.165} - \frac{1}{2.178}) m^{3}$
$∴$ Fraction unoccupied = $\frac{(\frac{0.013 M \times 10^{- 3}}{2.165 \times 2.178})}{(\frac{M \times 10^{- 3}}{2.165})} = 5.96 \times 10^{- 3}$
Hence, option (D) is correct.

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Q. The pyknometric density of sodium chloride crystal is

2.165 \times 10^{3} k g m^{- 3}

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The pyknometric density of sodium chloride crystal is 2.165×103 kgm-3 while its X-rays density is 2.178×103 kgm-3. The fraction of unoccupied sites in sodium chloride crystal is [CBSE PMT 2003]

Explanation: Molar volume from pyknometric density = Md=M2.165×103m3 Molar volume from X-ray density = Md=M2.178×103m4 ∴ Volume unoccupied = M103(12.165−12.178)m3 ∴ Fraction unoccupied = (0.013M×10−32.165×2.178)(M×10−32.165)=5.96×10−3 Hence, option (D) is correct.

The pyknometric density of sodium chloride crystal is 2.165×10³ kgm^-3 while its X-rays density is 2.178×10³ kgm^-3. The fraction of unoccupied sites in sodium chloride crystal is
[CBSE PMT 2003]