A 0.04336 g sample of gas occupies 10.0-ml at 293.5 k and 1.10 atm. upon further analysis, the compound is found to be 25.305% c and 74.695% cl. what is the molecular formula of the compound?

Respuesta :

Step 1: Find the number of moles of the gas

Use PV = nRT

P = pressure = 1.10 atm

V = volume = 10 ml = 0.01 L

T = temperature = 293.5 K

R = gas constant = 0.0821 L,atm/mol-K

n = PV/RT = 1.10 * 0.0l/0.0821*293.5 = 0.000456 moles

Step 2: Find the moles of C and Cl in the given mass of the sample

Mass of sample = 0.04336 g

% C = 25.305% and % Cl = 74.695%

Therefore mass of C = 0.25305 * 0.04336 = 0.01097 g

mass of Cl = 0.74695*0.04336 = 0.03239 g

# moles of C = 0.01097 g/12 g.mol-1 = 0.000914 moles

# moles of Cl = 0.03239 g/ 35 g.mol-1 = 0.000925 moles

Step 3: Find the empirical formula and the empirical formula mass

C = 0.00914/0.00914 = 1

Cl = 0.00925/0.00914 = 1.01 = 1

Empirical formula = CCl

Empirical formula mass = 12 + 35 = 47 g.mol-1

Step 4: Find the molecular mass

# moles of the gas from step 1 = 0.000456 moles

Mass of the gas = 0.04336 g

Molecular mass = 0.04336/0.000456 = 95.087 g.mol-1

Step 5: Find the molecular formula

n = molecular mass/empirical mass = 95.087/47 = 2.02 = 2

Molecular formula = n(Empirical formula) = 2(CCl) = C₂Cl₂

Ans: the molecular formula of the compound is C₂Cl₂





PV = mRT: gas law.

M = [tex]\frac{n}{m}[/tex] : molecular mass

Use: M = [tex]\frac{mRT}{PV}[/tex]

Where

m = 0.04343 g

P = 1.10 atm

V = 0.0100 L

R = 0.08205746 (14) L atm K  mole  

T = 293.0 K

M: the molecular mass of the gas.

Then take the mass of this molecule, the molecular mass of the atom (C & Cl), and also the proportion of mass given to search out the amount of moles per mole of gas.

Further explanation

The chemical formula is a component of a formula, that has associate understanding of a substance that determines the kind and a relative range of atoms that area unit in this substance. Or in different languages, a formula are often given that contains data concerning the atoms that form up a selected chemical composition.

Chemical formula is split into 2 specifically chemical formula and formula. The formula announces that the formula mentioned will prove the molecules of the mix atoms. whereas the formula is that the original formula of a composition. The chemical formula are often determined if the relative molecular mass is thought.

Learn more

Gas molecular calculations https://brainly.com/question/6250579

Molecular Mass https://brainly.com/question/7233727

Details

Class: highschool

Subject: Chemistry

Keywords: Mole, Formula, Mass