A solid metal cube has an edge which is 11.4 mm long, and a mass of 6.67 g. What is the density of the cube? (A cube has all sides of equal length.) MULTIPLE CHOICE:

(a) 5.85 g/cm3 (b) 1.71 g/mm3 (c) 4.50 g/cm3 (d) 0.0877 g cm3

d = 4.50 g/cm³

Explanation:

Given data:

Edge length of a cube = 11.4 mm  (11.4/10 = 1.14 cm)

Mass of cube = 6.67 g

Density = ?

Solution:

Density:

Density is equal to the mass of substance divided by its volume.

Units:

SI unit of density is Kg/m3.

Other units are given below,

g/cm3, g/mL , kg/L

Formula:

D=m/v

D= density

m=mass

V=volume

Symbol:

The symbol used for density is called rho. It is represented by ρ. However letter D can also be used to represent the density.

First of all we will calculate the volume of cube.

Volume = length × width × height

Since all are equal,that's why

Volume = 1.14 cm ×  1.14 cm × 1.14 cm

Volume = 1.482 cm³

d = m/v

d = 6.67 g/ 1.482 cm³

d = 4.50 g/cm³

answer: the rate of diffusion increases with increase in temperature.

increase in temperature, increases the molecular/particles speed (kinetic energy. diffusion means movement of particles through the material.

generally, the heavier the particle the more it interacts with the environment and more the temperature matters. so higher temperature results in higher diffusion.