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Molar Mass, Molecular Weight and Elemental Composition Calculator

Molar mass of Gd40Tb41Ho42Er43Tm44Yb45Lu46Th47Pa48U49Np50Pu51Am52Cm53Bk54C is 146566.9575 g/mol

Convert between Gd40Tb41Ho42Er43Tm44Yb45Lu46Th47Pa48U49Np50Pu51Am52Cm53Bk54C weight and moles
CompoundMolesWeight, g
Gd40Tb41Ho42Er43Tm44Yb45Lu46Th47Pa48U49Np50Pu51Am52Cm53Bk54C

Elemental composition of Gd40Tb41Ho42Er43Tm44Yb45Lu46Th47Pa48U49Np50Pu51Am52Cm53Bk54C
ElementSymbolAtomic weightAtomsMass percent
GadoliniumGd157.25404.2916
TerbiumTb158.92535414.4457
HolmiumHo164.93032424.7262
ErbiumEr167.259434.9071
ThuliumTm168.93421445.0715
YtterbiumYb173.054455.3132
LutetiumLu174.9668465.4913
ThoriumTh232.03806477.4408
ProtactiniumPa231.03588487.5663
UraniumU238.02891497.9577
NeptuniumNp236.04657508.0525
PlutoniumPu238.049560518.2833
AmericiumAm241.056829528.5524
CuriumCm243.061389538.7893
BerkeliumBk247.070307549.1029
CarbonC12.010710.0082

Computing molar mass step by step

First, compute the number of each atom in Gd40Tb41Ho42Er43Tm44Yb45Lu46Th47Pa48U49Np50Pu51Am52Cm53Bk54C:
Gd: 40, Tb: 41, Ho: 42, Er: 43, Tm: 44, Yb: 45, Lu: 46, Th: 47, Pa: 48, U: 49, Np: 50, Pu: 51, Am: 52, Cm: 53, Bk: 54, C: 1

Then, lookup atomic weights for each element in periodic table:
Gd: 157.25, Tb: 158.92535, Ho: 164.93032, Er: 167.259, Tm: 168.93421, Yb: 173.054, Lu: 174.9668, Th: 232.03806, Pa: 231.03588, U: 238.02891, Np: 236.04657, Pu: 238.0495599, Am: 241.0568291, Cm: 243.0613891, Bk: 247.070307, C: 12.0107

Now, compute the sum of products of number of atoms to the atomic weight:
Molar mass (Gd40Tb41Ho42Er43Tm44Yb45Lu46Th47Pa48U49Np50Pu51Am52Cm53Bk54C) = ∑ Counti * Weighti =
Count(Gd) * Weight(Gd) + Count(Tb) * Weight(Tb) + Count(Ho) * Weight(Ho) + Count(Er) * Weight(Er) + Count(Tm) * Weight(Tm) + Count(Yb) * Weight(Yb) + Count(Lu) * Weight(Lu) + Count(Th) * Weight(Th) + Count(Pa) * Weight(Pa) + Count(U) * Weight(U) + Count(Np) * Weight(Np) + Count(Pu) * Weight(Pu) + Count(Am) * Weight(Am) + Count(Cm) * Weight(Cm) + Count(Bk) * Weight(Bk) + Count(C) * Weight(C) =
40 * 157.25 + 41 * 158.92535 + 42 * 164.93032 + 43 * 167.259 + 44 * 168.93421 + 45 * 173.054 + 46 * 174.9668 + 47 * 232.03806 + 48 * 231.03588 + 49 * 238.02891 + 50 * 236.04657 + 51 * 238.0495599 + 52 * 241.0568291 + 53 * 243.0613891 + 54 * 247.070307 + 1 * 12.0107 =
146566.9575 g/mol


Mass percent compositionAtomic percent composition

Formula in Hill system is CAm52Bk54Cm53Er43Gd40Ho42Lu46Np50Pa48Pu51Tb41Th47Tm44U49Yb45

Computing molar mass (molar weight)

To calculate molar mass of a chemical compound enter its formula and click 'Compute'. In chemical formula you may use:
  • Any chemical element. Capitalize the first letter in chemical symbol and use lower case for the remaining letters: Ca, Fe, Mg, Mn, S, O, H, C, N, Na, K, Cl, Al.
  • Functional groups: D, T, Ph, Me, Et, Bu, AcAc, For, Tos, Bz, TMS, tBu, Bzl, Bn, Dmg
  • parenthesis () or brackets [].
  • Common compound names.
Examples of molar mass computations: NaCl, Ca(OH)2, K4[Fe(CN)6], CuSO4*5H2O, nitric acid, potassium permanganate, ethanol, fructose, caffeine, water.

Molar mass calculator also displays common compound name, Hill formula, elemental composition, mass percent composition, atomic percent compositions and allows to convert from weight to number of moles and vice versa.

Computing molecular weight (molecular mass)

To calculate molecular weight of a chemical compound enter it's formula, specify its isotope mass number after each element in square brackets.
Examples of molecular weight computations: C[14]O[16]2, S[34]O[16]2.

Definitions

  • Molecular mass (molecular weight) is the mass of one molecule of a substance and is expressed in the unified atomic mass units (u). (1 u is equal to 1/12 the mass of one atom of carbon-12)
  • Molar mass (molar weight) is the mass of one mole of a substance and is expressed in g/mol.
  • Mole is a standard scientific unit for measuring large quantities of very small entities such as atoms and molecules. One mole contains exactly 6.022 ×1023 particles (Avogadro's number)

Steps to calculate molar mass

  1. Identify the compound: write down the chemical formula of the compound. For example, water is H2O, meaning it contains two hydrogen atoms and one oxygen atom.
  2. Find atomic masses: look up the atomic masses of each element present in the compound. The atomic mass is usually found on the periodic table and is given in atomic mass units (amu).
  3. Calculate molar mass of each element: multiply the atomic mass of each element by the number of atoms of that element in the compound.
  4. Add them together: add the results from step 3 to get the total molar mass of the compound.

Example: calculating molar mass

Let's calculate the molar mass of carbon dioxide (CO2):

  • Carbon (C) has an atomic mass of about 12.01 amu.
  • Oxygen (O) has an atomic mass of about 16.00 amu.
  • CO2 has one carbon atom and two oxygen atoms.
  • The molar mass of carbon dioxide is 12.01 + (2 × 16.00) = 44.01 g/mol.

Lesson on computing molar mass

Weights of atoms and isotopes are from NIST article.

Related: Molecular weights of amino acids

molecular weights calculated today
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