The atomic radius of metal x is 1.20 × 102 picometers (pm) and a crystal of metal x has a unit cell that is face-centered cubic. calculate the density of metal x? (atomic weight = 42.3 g/mol)

The density of metal X is

Explanation:

We are given:

Atomic radius of metal X =

To calculate the edge length, we use the relation between the radius and edge length for FCC lattice:

Putting values in above equation, we get:

To calculate the density of metal, we use the equation:

where,

= density

Z = number of atom in unit cell = 4  (FCC)

M = atomic mass of metal = 42.3 g/mol

= Avogadro's number =

a = edge length of unit cell =    (Conversion factor:    )

Putting values in above equation, we get:

Hence, the density of metal X is

answer : one can design an experiment using a liquid and an additive that can be added to the liquid and observe the chemical changes in the reaction species.

one would need a beaker which is filled with a known amount of the liquid in which thermometer is placed to measure the temperature changes; after addition of the additive to the liquid solution one can note down the temperature change and find whether the reaction is endothermic or exothermic in nature. by subtracting the initial temperature value with the final temperature one can find the temperature changes.

various combinations of liquid and additive can be used. liquid in this case can be a known quantity of water and additives can be epsom salt or without epsom salt the experiment can be conducted to notice the changes. water and ice, hydrogen peroxide and dry yeast, vinegar and baking soda,etc.