How to Calculate and Solve for Percentage Yield, Actual Yield and Theoretical Yield in Chemistry | The Calculator Encyclopedia

The image above represents percentage yield.

To compute the percentage yield, two essential parameters are needed and these parameters are actual yield and theoretical yield.

The formula for calculating percentage yield:

%Yield = (Actual YieldTheoretical Yield) x 100

Let’s solve an example;
Find the percentage yield when the actual yield is 12 with a theoretical yield of 26.

This implies that;
Actual yield = 12
Theoretical yield = 26

%Yield = (Actual YieldTheoretical Yield) x 100
%Yield = (1226) x 100
%Yield = 0.46 x 100
%Yield = 46.15

Therefore, the percentage yield is 46.15.

Calculating the Actual Yield when the Percentage Yield and the Theoretical Yield is Given.

Actual yield = %yield x theoretical yield / 100

Let’s solve an example;
Find the actual yield when the %yield is 52 with a theoretical yield of 10.

This implies that;
%yield = 52
Theoretical yield = 10

Actual yield = %yield x theoretical yield / 100
Actual yield = 52 x 10 / 100
Actual yield = 520 / 100
Actual yield = 5.2

Therefore, the actual yield is 5.2.

How to Calculate and Solve for the Molar Concentration, Molar Mass and Mass Concentration in Chemistry | The Calculator Encyclopedia

The image above represents the mass concentration.

To compute for mass concentration, two essential parameters are needed and these are molar concentration (c) and molar mass (M).

ρ = c x M

Where;
ρ = mass concentration
c = molar concentration
M = molar mass

Let’s solve an example;
Find the mass concentration when the molar concentration is 24 and molar mass is 15.

This implies that;
c = molar concentration = 24
M = molar mass = 15

ρ = c x M
ρ = 24 x 15
ρ = 360

Therefore, the mass concentration is 360 Kg/dm³.

Calculating the Molar Concentration when the Mass concentration and Molar Mass.

c = ρ / M

Where;
c = molar concentration
ρ = mass concentration
M = molar mass

Let’s solve an example;
Find the molar concentration when the mass concentration is 120 with a molar mass of 40.

This implies that;
ρ = mass concentration = 120
M = molar mass = 40

c = ρ / M
c = 120 / 40
c = 3

Therefore, the molar concentration is 3 mol/L.

How to Calculate and Solve for the Mass, Volume and Mass Concentration in Chemistry | The Calculator Encyclopedia

The image above represents the mass concentration.

To compute the mass concentration, two essential parameters are needed and these parameters are mass (m) and volume (V).

The formula for calculating mass concentration:

ρ = mV

Where;
ρ = Mass concentration
m = Mass
V = Volume

Let’s solve an example;
Find the mass concentration when the mass is 8 kg with a volume of 24 dm³.

This implies that;
m = Mass = 8
V = Volume = 24

ρ = mV
ρ = 824
ρ = 0.33

Therefore, the mass concentration is 0.33 Kg/dm³.

Calculating the Mass when the Mass Concentration and the Volume is Given.

m = Vρ

Where;
m = Mass
ρ = Mass concentration
V = Volume

Let’s solve an example;
Find the mass when the mass concentration is 12 kg/dm³ with a volume of 7 dm³.

This implies that;
ρ = Mass concentration = 12
V = Volume = 7

m = Vρ
m = 12 x 7
m = 84

Therefore, the mass concentration is 84 kg.

How to Calculate and Solve for the Number of Moles, Volume and Molar Concentration in Chemistry | Nickzom Calculator

The image above represents the molar concentration.

To compute the molar concentration of a substance, two essential parameters are needed and these parameters are number of moles (n) and volume (V).

The formula for calculating the molar concentration:

c = nV

Where;
c = Molar Concentration
n = Number of moles
V = Volume

Let’s solve an example;
Find the molar concentration when the number of moles is 32 with a volume of 120.

This implies that;
n = Number of moles = 32
V = Volume = 120

c = nV
c = 32120
c = 0.266

Therefore, the molar concentration is 0.266 mol/L.

Calculating the Number of Moles when Molar Concentration and Volume is Given.

n = Vc

Where;
n = Number of moles
c = Molar Concentration
V = Volume

Let’s solve an example;
Find the number of moles when the molar concentration is 40 with a volume of 31.

This implies that;
c = molar concentration = 40
V = Volume = 31

n = Vc
n = 31 x 40
n = 1240

Therefore, the Number of Moles is 1240 mol.

How to Calculate and Solve for the Volume of a Constituent, Volume of a Mixture and Volume Concentration in Chemistry | The Calculator Encyclopedia

The image above represents the volume concentration.

To compute the volume concentration of a substance, two essential parameters are needed and these parameters are volume of the constituent (Vi) and volume of the mixture (V).

The formula for calculating volume concentration:

φ = ViV

Where;
φ = Volume concentration
Vi = Volume of the constituent
V = Volume of the mixture

Let’s solve an example;
Find the volume concentration with a volume of the constituent of 23 and a volume of the mixture of 32.

This implies that;
Vi = Volume of the constituent = 23
V = Volume of the mixture = 32

φ = ViV
φ = 2332
φ = 0.718

Therefore, the volume concentration is 0.718.

Calculating the Volume of the Constituent when the Volume Concentration and the Volume of the Mixture is Given.

Vi = Vφ

Where;
φ = Volume concentration
V = Volume of the mixture

Let’s solve an example;
Find the volume of the constituent with a volume concentration of 18 and a volume of the mixture of 22.

This implies that;
φ = Volume concentration = 18
V = Volume of the mixture = 22

Vi = Vφ
Vi = 18 x 22
Vi = 396

Therefore, the volume of the constituent is 396 cm3.

How to Calculate and Solve for the Number of Entities of a Constituent, Volume and Number Concentration in Chemistry | Nickzom Calculator

The image above represents the number concentration.

To compute for the number concentration, two essential parameters are needed and these parameters are Number of Entities of the Constituent (N) and Volume (V).

The formula for calculating the number concentration:

C = NV

Where;
C = Number Concentration
N = Number of Entities of the Constituent
V = Volume

Let’s solve an example;
Find the number concentration when the number of entities of the constituent is 12 and the volume is 24.

This implies that;
N = Number of Entities of the Constituent = 12
V = Volume = 24

C = NV
C = 1224
C = 0.5

Therefore, the number concentration is 0.5 m-3.

Calculating the Number of Entities of the Constituent when Number Concentration and Volume is Given.

N = VC

Where;
N = Number of Entities of the Constituent
C = Number Concentration
V = Volume

Let’s solve an example;
Find the number of entities of the constituent when the number concentration is 18 and the volume is 14.

This implies that;
C = Number Concentration = 18
V = Volume = 14

N = VC
N = 14 x 18
N = 252

Therefore, the number of entities of the constituent is 252 m-1.

How to Calculate and solve for the Mass, Number of Moles and Molar Mass in Chemistry | The Calculator Encyclopedia

The image above represents the molar mass of a substance.

To compute for the molar mass, two essential parameters are needed and these parameters are mass (m) and number of moles (n).

The formula for calculating the molar mass:

M = mn

Where;
M = Molar mass
m = Mass
n = Number of moles

Let’s solve an example;
Find the molar mass of a substance with a mass of 14 kg and number of moles of 28 mol.

This implies that;
m = Mass = 14
n = Number of moles = 28

M = mn
M = 14 ⁄ 28
M = 0.5

Therefore, the molar mass is 0.5 Kg/mol.

Calculating the Mass of a Substance when the Molar Mass and the Number of Moles is Given.

m = nM

Where;
m = Mass
n = Number of moles
M = Molar Mass

Let’s solve an example;
Find the mass of a substance with a molar mass of 30 Kg/mol and number of moles of 15 mol.

This implies that;
n = Number of moles = 15
M = Molar Mass = 30

m = nM
m = 15 x 30
m =  450

Therefore, the mass of a substance is 450 kg.

How to Calculate and Solve for the number of Particles in a Substance and Number of Moles | The Calculator Encyclopedia

The image above represent number of particles in a substance.

To compute for the number of particles in a substance, two essential paramters are needed and these parameters are Avogadro’s constant (h) and number of moles (n).

The formula for calculating the number of particles in a substance:

Number of particles in a substance = n x Avogadro’s constant

Where;
N  = Number of particles in a substance
n = Number of moles

Let’s solve an example:
Find the number of particles in a substance with an Avogadro’s constant of 6.022e+23 and number of moles of 12.

This implies that;
n = Number of moles = 12
h = Avogadro’s constant = 6.022e+23

Number of particles in the substance = 12 x 6.022e+23
Number of particles in the substance = 7.2264e+24

Therefore, the number of particles in the substance is 7.2264e+24 particles.

How to Calculate and Solve for the Height and Volume of a Conical Frustum | The Calculator Encyclopedia

The image above is a conical frustum.

To compute the volume of a conical frustum, three essential parameters are needed and this parameters are radius of the lower base (R), radius of the upper base (r) and height (h).

The formula for calculating the volume of a conical frustum:

V = πh(R² + Rr + r²)3

Where;
V = Volume of the conical frustum
R = Radius of the lower base
r = Radius of the upper base
h = Height of the conical frustum

Let’s solve an example;
Find the volume of the conical frustum when the lower base is 5 cm with an upper base of 9 cm and a height of 11 cm.

This implies that;
R = Radius of the lower base = 5 cm
r = Radius of the upper base = 9 cm
h = Height of the conical frustum = 11 cm

V = π(11)((5)² + (5)(9) + (9)²)3
V = (34.557)((25) + (45) + (81))3
V = (34.557)(151)3
V = 5218.1853
V = 1739.39

Therefore, the volume of the conical frustum is 1739.39 cm3.

How to Calculate and Solve for the Height and Volume of a Square Pyramid Frustum | Nickzom Calculator

The image above is a square pyramid frustum.

To compute the volume of a square pyramid frustum, three essential parameters are needed and this parameters are base side length (a), top side length (b) and height (h).

The formula for calculating the volume of a square pyramid frustum:

V = h(a² + ab + b²)3

Where;
V = Volume of a square pyramid frustum
a = Base side length of the square pyramid frustum
b = Top side length of the square pyramid frustum
h = Height of the square pyramid frustum

Let’s solve an example
Find the volume of a square pyramid frustum when the base side length is 10 cm with a top side length of 12 cm and a height of 20 cm.

This implies that;
a = Base side length of the square pyramid frustum = 10 cm
b = Top side length of the square pyramid frustum = 12 cm
h = Height of the square pyramid frustum = 20 cm

V = h(a² + ab + b²)3
V = 20(10² + (10 x 12) + 12²)3
V = 20(100 + (120) + 144)3
V = 20(364)3
V = 72803
V = 2426.6

Therefore, the volume of the square pyramid frustum is 2426.6 cm3.

Calculating the Height of a Square Pyramid Frustum when the Volume, Top Side Length and Base Side Length of the Square Pyramid Frustum is Given.

h = 3V / (a2 + ab + b2)

Where;
h = Height of the square pyramid frustum
V = Volume of the square pyramid frustum
a = Base side length of the square pyramid frustum
b = Top side length of the square pyramid frustum

Let’s solve an example;
Find the height of a square pyramid frustum when the volume is 32 cm3, base side length is 14 cm and top side length is 18 cm.

This implies that;
V = Volume of the square pyramid frustum = 32 cm3
a = Base side length of the square pyramid frustum = 14 cm
b = Top side length of the square pyramid frustum = 18 cm

h = 3V / (a2 + ab + b2)
h = 32 x 3 / (142 + (14 x 18) + 182)
h = 96 / (196 + 252 + 324)
h = 96 / 772
h = 0.124

Therefore, the height of the square pyramid frustum is 0.124 cm.