MHT CET · Chemistry · Solid State
Calculate the number of atoms present in unit cell if an element having molar mass \(23 \mathrm{~g} \mathrm{~mol}^{-1}\) and density \(0.96 \mathrm{~g} \mathrm{~cm}^{-3}\). \(\left[\mathrm{a}^3 \cdot \mathrm{N}_{\mathrm{A}}=48 \mathrm{~cm}^3 \mathrm{~mol}^{-1}\right]\)
- A 1
- B 2
- C 4
- D 6
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(
\begin{aligned}
& \text {Density }(\rho)=\frac{\mathrm{nM}}{\mathrm{a}^3 \mathrm{~N}_{\mathrm{A}}} \\
& 0.96=\frac{\mathrm{n} \times 23}{48} \\
& \mathrm{n}=\frac{0.96 \times 48}{23}=2.003
\end{aligned}
\)
Number of atoms present in unit cell \(=2\)
\begin{aligned}
& \text {Density }(\rho)=\frac{\mathrm{nM}}{\mathrm{a}^3 \mathrm{~N}_{\mathrm{A}}} \\
& 0.96=\frac{\mathrm{n} \times 23}{48} \\
& \mathrm{n}=\frac{0.96 \times 48}{23}=2.003
\end{aligned}
\)
Number of atoms present in unit cell \(=2\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
- Which of the following compounds is optically inactive?MHT CET 2021 Easy
- Identify the nitrogen atom of purine base that bonds with \(1^{\prime}\) carbon of ribose to form ribonucleoside?MHT CET 2024 Medium
- What is the medicinal property of Eugenol?MHT CET 2025 Easy
- Which among the following salts turns blue litmus red in its aqueous solution?MHT CET 2025 Easy
- The \(\mathrm{pH}\) of \(0.1 \mathrm{M}\) solution of monobasic acid is 2.34 . Calculate the degree of dissociation of the acid.MHT CET 2021 Easy
- How many atoms of niobium are present in \(2.43 \mathrm{~g}\) if it forms bcc structure with density \(9 \mathrm{~g} \mathrm{~cm}^{-3}\) and volume of unit cell \(2.7 \times 10^{-23} \mathrm{~cm}^3 ?\)MHT CET 2021 Easy
More PYQs from MHT CET
- If \(\mathrm{f}(x)=3 x^3+2 x^2 \mathrm{f}^{\prime}(1)+x \mathrm{f}^{\prime \prime}(2)+\mathrm{f}^{\prime \prime \prime}(3)\) then \(\mathrm{f}(x)=\) \(\qquad\)MHT CET 2025 Medium
- Let the function \(\mathrm{g}:(-\infty, \infty) \rightarrow\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\) be given by \(\mathrm{g}(\mathrm{u})=2 \tan ^{-1}\left(\mathrm{e}^{\mathrm{u}}\right)-\frac{\pi}{2}\). Then g isMHT CET 2024 Easy
- If and are foot of perpendicular drawn from point to the planes and , then equation of plane through the points and is _______MHT CET 2016 Medium
- Argument of \(\frac{1-i \sqrt{3}}{1+i \sqrt{3}}\) isMHT CET 2022 Easy
- Which of the following salt solutions is highly acidic?MHT CET 2021 Medium
- The equation of the line passing through the point and bisecting the angle between coordinate axes isMHT CET 2018 Easy