MHT CET202015 Oct 2020Morning ShiftChemistrySolid StateActual
What is the volume of 1 mole of a crystalline solid having unit cell edge length 16 10⁻⁸ ~cm , if it's unit cell contains 24 molecules?
Options
- A102 7 ~cm ³ ~mol ⁻¹
- B404 0 ~cm ³ ~mol ⁻¹
- C159 3 ~cm ³ ~mol ⁻¹
- D142 1 ~cm ³ ~mol ⁻¹
Correct answer
A. 102 7 ~cm ³ ~mol ⁻¹
Step-by-step solution
16 10⁻⁸ ~cm a=16 10⁻⁸ cme unit cell =a³= (16 10⁻⁸ )³ Volume of one unit cellat =4096 10⁻²⁴ ~cm ³ volume of 24 molecules =4096 10⁻²⁴ ~cm ³ Volume of 1 molecule = 4096 10⁻²⁴ 24 =170.67 10⁻²⁴ ~cm ³ aligned Volume of 1 mole of a crystalline solid &=170.67 10⁻²⁴ 6.022 10²³ &=1027.77 10⁻¹ aligned