Moles to Grams Formula: Calculation & Examples

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Moles to Grams Formula is used to determine the quantity of any given substance. The term mole refers to the amount of substance that contains the same number of chemical elements (atomsions, etc.) as there are in 12g of Carbon-12 isotope

  • In simpler terms, mole is the Avogadro number of atoms. 
  • By converting moles to grams, an individual can find the molar mass (in grams) of 1 mole of a substance. 
  • It also defines the molecular weight of the chemical compound.
  • Mole is considered the standard unit of conversion.
  • The moles to grams formula is used to compare the amount of one substance with another.
  • The concept is used to measure the amount of pollutants in soil, water and air.

Key Terms: Moles to Grams Formula, Moles, Molar mass, Avogadro Number, Grams, Atomic Mass, Substance, Chemical Compound, Isotope, Carbon, Molecular Weight, Atomic Mass


What is Moles to Grams Formula?

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In chemistry, moles to grams formula is used for the conversion of moles to grams of a substance. The formula is basically used to determine the number of substances in a chemical compound.

  • The formula also defines the molecular weight of the substance.
  • One mole is equivalent to Avogadro's number of atoms, which is 6.023*1023 particles.
  • The conversion is done by multiplying the mass of the substance by the formula weight.
  • Moles to Grams Formula is an important factor in the field of chemistry measurement.
  • Mathematically, the formula is represented as:

m = n × M

Where,

  • m is the mass of substances in gm
  • n is the no. of moles 
  • M is the Molar mass of the substance

Example of What is Moles to Grams Formula?

Example. Calculate the mass of 30 moles of sodium sulfite (Na2SO3) in grams. 

Ans. We know that,

Atomic mass of Sodium (Na) = 23g

Atomic mass of Sulphur (S) = 32g

Atomic mass of oxygen (O) = 16g

Therefore, Molar mass of (Na2SO3) = (23×2)+32+(16×3) = 126g/mol

Now, using formula,

m = n × M

m = 30 moles × 126 g/mol

m = 3780g

Therefore, the mass of 30 moles of Sodium Sulfite is 3780g.

Moles to Grams Formula

Moles to Grams Formula

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Relationship between Moles and Molar mass

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Moles and Molar mass are two different terms with a lot of differences. Mole refers to the Avogadro number of atoms, whereas Molar mass is the mass of one mole of that substance. 

  • The SI unit of Molar mass is g/mol.
  • The relation between Moles and the Molar Mass of a substance can be shown as follows: 

n = \(\frac{m}{M}\) 

where,

  • n = number of moles,
  • m = total mass of substance,
  • M = mass of one mole of a substance (Molar mass).

Steps to Calculate Molar mass

The steps to calculate molar mass are as follows:

  • Write the chemical formula of the given compound.
  • Find out the atomic mass of each element.
  • Next, multiply it with the number of atoms of the same element present in that compound.
  • Then, sum up the formula.
  • Lastly, you will get the molar mass of the compound.

How to convert Moles to Grams Formula?

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Moles and grams are considered standard units of conversion used in the field of chemistry. The substance is defined as the ratio of moles. The process to convert moles to grams formula is as follows:

  • First, write down the number of moles that are required for a particular substance.
  • Using the chemical formula, determine the molar mass of the required substance.
  • Multiplying both the values obtained in the above steps will give the mass in grams.

With the help of the above formula, we can give the formula to convert moles to grams like this,

m = n × M

Where,

  • m is the mass of substances in gm
  • n is the no. of moles 
  • M is the Molar mass of the substance

Example of How to convert Moles to Grams Formula?

Example. Determine the number of moles of Ca, C and oxygen atoms in 300g of CaCO3 and their mass.

Ans. We know that, m = 300g

  • Atomic mass Ca = 40g,
  • Atomic mass C = 12g,
  • Atomic mass O = 16g.
  • M = 40+12+(16×3) = 100 g/mol
  • m = n × M
  • n = m / M
  • 300/100 
  • 3 moles
  • Number of moles Ca = 3 moles
  • Number of moles C = 3 moles
  • Number of moles O = 9 moles

Things to Remember

  • The moles to grams formula is an integral part of chemistry and an important basis for any experiment.
  • For conversion, the quantity of mole should be determined first.
  • Before calculating, make sure all quantities are in their respective SI units. 
  • Number of moles is directly proportional to the total mass of the substance.
  • Total mass in grams is equal to the product of molar mass and number of moles of that compound/element.

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Sample Questions

Ques. Calculate the mass of 10 moles of sodium sulfite (Na2SO3) in grams? (3 marks)

Ans. We know that,

Atomic mass of Sodium (Na) = 23g

Atomic mass of Sulphur (S) = 32g

Atomic mass of oxygen (O) = 16g

Therefore, Molar mass of (Na2SO3) = (23×2)+32+(16×3) = 126g/mol

Now, using formula,

m = n × M

m = 10 moles × 126 g/mol

m = 1260g

Therefore, the mass of 10 moles of Sodium Sulfite is 1260g.

Ques. Calculate the mass of 0.5 moles of the water molecule in grams? (3 marks)

Ans. We know that,

The atomic mass of Hydrogen (H) = 1g

The atomic mass of Oxygen (O) = 16g

Therefore, Molar mass of (H2O) = (1×2)+16 = 18g/mol

Now, using formula,

m = n × M

m = 0.5 moles × 18 g/mol

m = 9g

Therefore, the mass of 0.5 moles of the water molecule is 18g.

Ques. Calculate the mass of 1.8 moles of KMnO4 in grams? (3 marks)

Ans. We know that,

Atomic mass of Potassium (K) = 19g

Atomic mass of Manganate (Mn) = 55g

Atomic mass of oxygen (O) = 16g

Therefore, Molar mass of (KMnO4) = 19+55+(16×4) = 158g/mol

Now, using the formula,

m = n × M

m = 1.8 moles × 158 g/mol

m = 284.4g

Therefore, the mass of 1.8 moles of KMnO4 is 284.4g.

Ques. Calculate the mass of 6.022×1023 molecule of NH4Cl? (3 marks)

Ans. We know that,

Atomic mass of Sodium (N) = 14g

Atomic mass of Hydrogen (H) = 1g

Atomic mass of Chlorine (Cl) = 35.5g

Therefore, Molar mass of (NH4Cl) = 14+1×4+35.5 = 53.5g/mol

No. of moles of NH4Cl = \(\frac{6.022×10^{23}}{ 6.022×10^{23}}\) = 1 mole

Now, using the formula,

m = n × M

m = 1 mole × 53.5 g/mol 

m = 53.5g

Therefore, the mass of 1 mole of NH4Cl is 53.5g.

Ques. Calculate the number of moles of Ca, C and oxygen atoms and their mass in 200g of CaCO3? (3 marks)

Ans. We know that,

Atomic mass of Calcium (Ca) = 40g

Atomic mass of Carbon (C) = 12g

Atomic mass of Oxygen (O) = 16g

Therefore, Molar mass of (CaCO3) = 40+12+316 = 100 g/mol

No. of moles of CaCO3 = \(\frac{200g}{100g}\) = 2 mole

Therefore, 

Number of moles of Ca = 2 moles

Number of moles of C = 2 moles

Number of moles of O = 6 moles

Ques. Calculate the mass of 5.5 moles of C12H22O11 in grams? (3 marks)

Ans. We know that,

Atomic mass of Carbon (C) = 12g

Atomic mass of Hydrogen (H) = 1g

Atomic mass of Oxygen (O) = 16g

Therefore, Molar mass of (C12H22O11) = (12*12) + (1×22) + (16*11) = 342 g/mol

Now, using formula,

m = n × M

m = 5.5 moles × 342 g/mol

m = 1881g

Therefore, the mass of 5.5 moles of C12H22O11 is 1881g.

Ques. Convert 9 moles of Carbon Monoxide to grams? (3 marks)

Ans. Molar mass of carbon monoxide (CO) = 12+16 = 28 g/mol

Now, using the formula,

m = n × M

m = 9 moles × 28 g/mol

m = 252g

Therefore, the mass of 9 moles of CO is 252g.

Ques. How many grams of SiO2 are present in 0.8 mole? (3 marks)

Ans. Molar mass of SiO2 = 28+32 = 60 g/mol 

Now, using formula,

m = n × M

m = 0.8 moles × 60 g/mol 

m = 48g

Therefore, the mass of 0.8 moles of SiO2 is 48g.

Ques. What will be the mass of 12.044 × 1023 molecules of O2? (3 marks)

Ans. Molar mass of O2 = 2 × 16 = 32 g/mol

Therefore, 1 mole of O2 = 32g

⇒ 6.022 × 1023 O2 molecules have mass = 32g

12.044 × 1023 O2 molecules have mass = 32 × \(\frac{12.044 × 10^{23}} {6.022 × 10^{23}}\) = 32 × 2 = 64g

Ques. Calculate the mass of glucose in 2 × 1024 molecules. The molecular mass of Glucose is 180u? (3 marks)

Ans. Molecular mass of Glucose = 180u

⇒ 1 mole of Glucose has 180g mass.

2 × 1024 molecules will have mass = 180 × \(\frac{2 × 10^{24}} {6.022 × 10^{23}}\) = 597.7g

Ques. Determine how many grams are present in 10 moles of CO? (3 marks)

Ans. We know that, n = 10 moles

  • Atomic mass of C = 12g,
  • Atomic mass of O = 16g.
  • M = CO = 12+16 = 28 g/mol
  • m = n × M
  • 10 × 28
  • 280 gms

Ques. Determine the mass in grams of 20 moles of sodium sulfite? (3 marks)

Ans. We know that, n = 20 moles

  • Sodium sulfite formula is Na2SO3
  • Atomic mass of Na = 23g
  • Atomic mass of S = 32g
  • Atomic mass of O = 16g
  • M = (23×2)+32+(16×3) = 126 g/mol
  • m = n × M
  • 20 × 126
  • 2520 gms

Ques. Determine the mass of the water molecule in grams for 5.8 moles? (3 marks)

Ans. We know that, n = 5.8 moles

  • Water (H2O)
  • Atomic mass of H = 1g
  • Atomic mass of O = 16g
  • M = H2O = (1×2)+16 = 18 g/mol
  • m = n × M
  • 5.8 × 18
  • 104.4 gms

Ques. Determine the mass in grams of 7.1 moles of KMnO4? (3 marks)

Ans. We know that, n = 7.1 moles

  • Atomic mass of K = 19g,
  • Atomic mass of Mn = 55g,
  • Atomic mass of O = 16g.
  • M = 19+55+(16×4) = 138 g/mol
  • m = n × M
  • 7.1 × 138
  • 979.8 grams

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