English
Karnataka Board PUCPUC Science 2nd PUC Class 12

Copper crystallises into a fcc lattice with edge length 3.61 × 10−8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm−3.

Advertisements
Advertisements

Question

Copper crystallises into a fcc lattice with edge length 3.61 × 10−8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm−3.

Numerical
Advertisements

Solution

Given: For fcc lattice, Z = 1 + 3 = 4 atoms

Edge length, a = 3.61 × 10−8 cm,

Atomic mass of Cu = 63.55 gm mo1−1

Avogadro’s number (NA) = 6.022 × 1023

To find: Density of Cu = ?

Formula: `rho = (Z xx M)/(a^3 xx N_A)`

= `(4 xx 63.55)/((3.61 xx 10^-8)^3 xx 6.022 xx 10^23`

= `254.2/(47.04 xx 10^-24 xx 6.022 xx 10^23)`

= `254.2/(283.27 xx 10^-1)`

= `254.2/28.327`

= 8.97 g cm−3

Thus, the calculated value is fairly in agreement with the measured value.

shaalaa.com
  Is there an error in this question or solution?

RELATED QUESTIONS

Ionic solids conduct electricity in molten state but not in solid state. Explain


Distinguish between crystalline solids and amorsphous solids.


How are the crystalline solids classified?


Answer the following in one or two sentences.

A solid is hard, brittle and electrically nonconductor. Its melt conducts electricity. What type of solid is it?


A compound is made up of two elements X and Y and crystallizes in bcc structure. Atoms of X are present at the corners of the cube. Atoms of Y are present at the centre of the cube. The formula of the compound is ______.


Classify the following solid:

Pb


In calcium fluoride, having the flurite structure the coordination number of Ca2+ ion and F− Ion are ____________.


Give any three characteristics of ionic crystals.


Which of the following is an example of molecular solid?


Which of the following is TRUE about molecular solids?


Fullerene is an example of ____________.


Which among the following is NOT a polar molecular solid?


Which among the following is not true for crystalline solid?


Which among the following is an example of network solid?


Order of increasing melting points among H2O(s), C(s), CS2 and Sn is ____________.


Which among the following is an example of non-polar molecule?


The hardest substance among the following is:


The compound, found in nature in gas phase but ionic in solid state is ____________.


Among solids, the highest melting point is exhibited by ____________.


Iodine molecules are held in the crystals lattice by ______.


Which of the following is not the characteristic of ionic solids?


Which of the following cannot be regarded as molecular solid?

(i) SiC (Silicon carbide)

(ii) AlN

(iii) Diamond

(iv) I2


NaCl type crystal (with coordination no. 6 : 6) can be converted into CsCl type crystal (with coordination no. 8 : 8) by applying ____________.


Why are liquids and gases categorised as fluids?


Which of the following exists as covalent crystals in the solid state?


Mention the res of the following solid:

Ice


Mention the res of the following solid:

CO2


Quartz is which type of crystal?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×