Math

QuestionWhich has more mass, 1 mol1 \mathrm{~mol} of He or 1 mol1 \mathrm{~mol} of Ar? Options: He, Ar, same, undetermined.

Studdy Solution

STEP 1

Assumptions1. The atomic mass of helium (He) is approximately4 g/mol. The atomic mass of argon (Ar) is approximately40 g/mol3. The mass of a substance in grams is equal to the atomic mass of the substance in g/mol times the number of moles of the substance

STEP 2

First, we need to find the mass of1 mol of helium. We can do this by multiplying the atomic mass of helium by the number of moles.
MassHe=AtomicmassHetimesNumberofmolesHeMass_{He} = Atomic\, mass_{He} \\times Number\, of\, moles_{He}

STEP 3

Now, plug in the given values for the atomic mass of helium and the number of moles to calculate the mass.
MassHe=g/moltimes1molMass_{He} =\, g/mol \\times1\, mol

STEP 4

Calculate the mass of1 mol of helium.
MassHe=4g/moltimes1mol=4gMass_{He} =4\, g/mol \\times1\, mol =4\, g

STEP 5

Next, we need to find the mass of1 mol of argon. We can do this by multiplying the atomic mass of argon by the number of moles.
MassAr=AtomicmassArtimesNumberofmolesArMass_{Ar} = Atomic\, mass_{Ar} \\times Number\, of\, moles_{Ar}

STEP 6

Now, plug in the given values for the atomic mass of argon and the number of moles to calculate the mass.
MassAr=40g/moltimes1molMass_{Ar} =40\, g/mol \\times1\, mol

STEP 7

Calculate the mass of1 mol of argon.
MassAr=40g/moltimes1mol=40gMass_{Ar} =40\, g/mol \\times1\, mol =40\, g

STEP 8

Now that we have the mass of1 mol of helium and1 mol of argon, we can compare these to determine which has more mass.
1 mol of argon has more mass than1 mol of helium.

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