Determine identity of an element from a binary formula and mass data
Examples and Problems only, no solutions

Ten Examples      Problems #1 - 10      Problems #11 - 20      Return to Mole Table of Contents

Determine empirical formula when given mass data

Determine empirical formula when given percent composition data

Determine identity of an element from a binary formula and a percent composition

Determine molecular formula using the Ideal Gas Law

Determine the formula of a hydrate   Hydrate lab calculations


Ten Examples

Example #1: 100.0 g of XF3 contains 49.2 g of fluorine. What element is X?

Example #2: A 1.443 g sample of an unknown metal is reacted with excess oxygen to yield 1.683 grams of an oxide known to have the formula M2O3. Calculate the atomic weight of the element M and identify the metal.

Example #3: When the element A is burned in an excess of oxygen, the oxide A2O3(s) is formed. 0.5386 g of element A is treated with oxygen and 0.711 g of A2O3 are formed. Identify element A.

Example #4: A 2.89 g sample of osmium oxide, OsxOy, contains 2.16 g of osmium. What are the values of x and y?

Example #5: 7.8 g of an element X reacts with oxygen to form 9.4 g of an oxide X2O. What is the relative atomic mass of X? What is the element X?

Example #6: A 64.8 g sample of the compound X2O5 contains 48.0 g of oxygen atoms. What is the atomic weight of element X? What element is element X?

Example #7: The chloride of an unknown metal is believed to have the formula MCl3. A 1.603 g sample of the compound is found to contain 0.03606 mol of Cl. Determine the atomic weight of element M and identify it by name.

Example #8: The 64.8 g sample of the compound X2O5 contains 48.0 grams of oxygen atoms. What is the molar mass of element X? What is the identity of element X?

Example #9: A 47.3 g sample of the compound X3(PO4)2 contains 8.78 g of phosphorus. Identity X

Example #10: A 30.6-g sample of the compound M2O3 contains 14.4 g of oxygen atoms. What is the molar mass of element M? Identify the element M most probably is.


Problems #1 - 10

Problem #1: An unknown metal M reacts with oxygen to give the metal oxide MO2. Identify the metal based on the following information.

mass of metal: 0.356 g
mass of metal oxide: 0.452 g

Problem #2: 16.5 g of element X reacts completely with 9.6 g of oxygen to produce a pure sample of XO2. Find the atomic weight and identity of X.

Problem #3: An element reacts with bromine to give the bromide, MBr5. If 2.009 g of the element gives 10.648 g of MBr5, what is the element?

Problem #4: A student places 5.00 g of an unknown metal (X) ribbon in a crucible. The crucible is heated until the unknown metal reacted with oxygen to form a white product with the formula X2O3 . The mass of product is determined to be 7.19 g.

(a) What is the molar mass of the unknown metal (X)?
(b) What element is the unknown metal?

Problem #5: A 30.6-g sample of the compound M2O3 contains 9.79 g of oxygen atoms. What is the molar mass of element M? Identify the element M most probably is.

Problem #6: From a specific heat measurement, the approximate atomic weight of a metal (M) is found to be 135 Daltons. A 0.2341 g sample of M is heated to constant weight in air to convert it to the oxide The weight of the residue is 0 2745 g Find the true atomic weight of the metal (and therefore its identity), and determine the formula of the metal oxide.

Problem #7: Identify M in the compound M2(C2O4)3 if the mass of the M atoms is 1371 g in a sample containing 5.92 x 1024 molecules of M2(C2O4)3

Problem #8: If 3.72 g of element X exactly reacts with 4.80 g of oxygen to form a compound whose molecular formula is shown, from other experiments to be X4O10, what is the relative atomic mass of X? What element is X?

Problem #9: Determine the atomic weight of element A, given that 8.00 g of A2O3 contains 2.40 g of oxygen.

Problem #10: A 2.00 g sample of a metal X (that is known to form X2+ ions) was added to 0.100 L of 0.500 M H2SO4. After all the metal had reacted, the remaining acid required 0.0637 L of 0.500 M NaOH solution for neutralization. Calculate the atomic weight of the metal and identify the element.


Problems #11 - 20

Problem #11: 11.2 g of a metal carbonate, containing an unknown metal, M, was heated to give the metal oxide and 4.40 g CO2. What is the identity of the metal M?

Problem #12: A certain metal oxide has the formula MO where M denotes the metal. A 39.46 g sample of the compound is strongly heated in an atmosphere of hydrogen to remove oxygen as water molecules. At the end, 31.70 g of the metal is left over. Given that O has an atomic mass of 16.00 amu, calculate the atomic mass of M and identify the element.

Problem #13: A 30.6 g sample of the compound X2O3 contains 14.4 g of oxygen atoms. What is the atomic mass of element X?

Problem #14: Given a solution of XCl2 has a molar concentration of 0.0250 mol dm¯3 and a mass concentration of 2.375 g dm¯3, find the relative atomic mass of X and identify its most probable identity.

Problem #15: In an experiment, hydrogen gas was passed over the metal oxide, MOx. It was found that the mass of the oxide was reduced from 1.59 g to 1.27 g. (a) Calculate the percentage composition of metal M and oxygen in the metal oxide. (b) Then, find the value of x if the molar mass of the oxide is 79.5 g/mol and identify element M.

Problem #16 A chloride of a metal M contains 65.5% chlorine. The mass of 0.100 L vapour of metal chloride at STP is 0.72 g. What is the empirical formula of the metal chloride? Identify what element M most probably is.

Problem #17: 31.87 g of a solid compound, known to have the formula X3N2, is produced when 25.85 g of element X is reacted with excess nitrogen. What is the molar mass of the element and what is the name of the element?

Problem #18: 1.250 g of a metal, M, is reacted with excess sulfuric acid, yielding 1.860 g of a compound whose molecular formula is MSO4. Determine the identity of the element M.

Problem #19: A metal oxide of formula MxO is heated until it completely decomposes into the pure metal and oxygen gas. it was found that 11.71 g of oxygen was produced when 69.00 g of the oxide decomposed. What is the identity of M?

Problem #20 A metal X forms two different chlorides. 12.7 g of chloride A contain 7.10 g and 16.3 g of chloride B contains 10.7 g of chlorine. Determine the formula of the compound.


Ten Examples      Problems #1 - 10      Problems #11 - 20      Return to Mole Table of Contents

Determine empirical formula when given mass data

Determine empirical formula when given percent composition data

Determine identity of an element from a binary formula and a percent composition

Determine molecular formula using the Ideal Gas Law

Determine the formula of a hydrate   Hydrate lab calculations