Math

QuestionCalculate the moles of rubidium chloride (RbCl\mathrm{RbCl}) produced from 303g303 \, \mathrm{g}, using significant digits.

Studdy Solution

STEP 1

Assumptions1. The chemical formula for rubidium chloride is RbCl\mathrm{RbCl} . The amount of rubidium chloride produced is 303g303g
3. The molar mass of rubidium chloride is the sum of the molar mass of rubidium (Rb) and chlorine (Cl)
4. The molar mass of rubidium (Rb) is 85.47g/mol85.47g/mol
5. The molar mass of chlorine (Cl) is 35.45g/mol35.45g/mol
6. The number of moles is calculated by dividing the mass of the substance by its molar mass

STEP 2

First, we need to find the molar mass of rubidium chloride. We can do this by adding the molar mass of rubidium and chlorine.
MolarmassofRbCl=MolarmassofRb+MolarmassofClMolar\, mass\, of\, RbCl = Molar\, mass\, of\, Rb + Molar\, mass\, of\, Cl

STEP 3

Now, plug in the given values for the molar mass of rubidium and chlorine to calculate the molar mass of rubidium chloride.
MolarmassofRbCl=85.47g/mol+35.45g/molMolar\, mass\, of\, RbCl =85.47g/mol +35.45g/mol

STEP 4

Calculate the molar mass of rubidium chloride.
MolarmassofRbCl=85.47g/mol+35.45g/mol=120.92g/molMolar\, mass\, of\, RbCl =85.47g/mol +35.45g/mol =120.92g/mol

STEP 5

Now that we have the molar mass of rubidium chloride, we can find the number of moles produced. This is done by dividing the mass of rubidium chloride by its molar mass.
Numberofmoles=MassofRbCl/MolarmassofRbClNumber\, of\, moles = Mass\, of\, RbCl / Molar\, mass\, of\, RbCl

STEP 6

Plug in the values for the mass of rubidium chloride and the molar mass of rubidium chloride to calculate the number of moles.
Numberofmoles=303g/120.92g/molNumber\, of\, moles =303g /120.92g/mol

STEP 7

Calculate the number of moles of rubidium chloride produced.
Numberofmoles=303g/120.92g/mol=2.506molesNumber\, of\, moles =303g /120.92g/mol =2.506\, molesThe number of moles of rubidium chloride produced is2.506 moles.

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