QuestionCalculate: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

Studdy Solution

STEP 1

Assumptions1. The concentration of a substance in a solution is given in moles per liter (mol/L). . The volume of the solution is given in liters ().
3. The total amount of the substance in the solution is given in moles (mol).
4. The concentration of a substance in a solution is calculated by dividing the total amount of the substance by the volume of the solution.

STEP 2

First, we need to calculate the total amount of the substance in the first solution. We can do this by multiplying the concentration by the volume.
$Total\, amount = Concentration \\times Volume$

STEP 3

Now, plug in the given values for the concentration and volume to calculate the total amount in the first solution.
$Total\, amount =78.084\, \frac{mol}{} \\times42\, L$

STEP 4

Calculate the total amount in the first solution.
$Total\, amount =78.084\, \frac{mol}{} \\times42\, L =3279.528\, mol$

STEP 5

Next, we need to calculate the total amount of the substance in the second solution. We can do this by multiplying the concentration by the volume.
$Total\, amount = Concentration \\times Volume$

STEP 6

Now, plug in the given values for the concentration and volume to calculate the total amount in the second solution.
$Total\, amount =.8084\, \frac{mol}{} \\times0.9\, L$

STEP 7

Calculate the total amount in the second solution.
$Total\, amount =7.8084\, \frac{mol}{} \\times0.9\, L =7.02756\, mol$

STEP 8

Finally, we need to calculate the concentration of the substance in the third solution. We can do this by dividing the total amount of the substance by the volume of the solution.
$Concentration = \frac{Total\, amount}{Volume}$

STEP 9

Now, plug in the given values for the total amount and volume to calculate the concentration in the third solution.
$Concentration = \frac{626.45\, mol}{34.3\, L}$

STEP 10

Calculate the concentration in the third solution.
$Concentration = \frac{626.45\, mol}{34.3\, L} =18.25977\, \frac{mol}{}$ So, the total amount of the substance in the first solution is3279.528 mol, in the second solution is7.02756 mol, and the concentration of the substance in the third solution is18.25977 mol/L.

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QuestionCalculate: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

Studdy Solution

STEP 1

STEP 2

First, we need to calculate the total amount of the substance in the first solution. We can do this by multiplying the concentration by the volume.
$Total\, amount = Concentration \\times Volume$

STEP 3

Now, plug in the given values for the concentration and volume to calculate the total amount in the first solution.
$Total\, amount =78.084\, \frac{mol}{} \\times42\, L$

STEP 4

Calculate the total amount in the first solution.
$Total\, amount =78.084\, \frac{mol}{} \\times42\, L =3279.528\, mol$

STEP 5

Next, we need to calculate the total amount of the substance in the second solution. We can do this by multiplying the concentration by the volume.
$Total\, amount = Concentration \\times Volume$

STEP 6

Now, plug in the given values for the concentration and volume to calculate the total amount in the second solution.
$Total\, amount =.8084\, \frac{mol}{} \\times0.9\, L$

STEP 7

Calculate the total amount in the second solution.
$Total\, amount =7.8084\, \frac{mol}{} \\times0.9\, L =7.02756\, mol$

STEP 8

Finally, we need to calculate the concentration of the substance in the third solution. We can do this by dividing the total amount of the substance by the volume of the solution.
$Concentration = \frac{Total\, amount}{Volume}$

STEP 9

Now, plug in the given values for the total amount and volume to calculate the concentration in the third solution.
$Concentration = \frac{626.45\, mol}{34.3\, L}$

STEP 10

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QuestionCalculate: 78.084molL×42L78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}78.084Lmol​×42L, 7.8084molL×0.9L7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}7.8084Lmol​×0.9L, and 626.45mol÷34.3L626.45 \mathrm{mol} \div 34.3 \mathrm{L}626.45mol÷34.3L.

Studdy Solution

STEP 1

STEP 2

First, we need to calculate the total amount of the substance in the first solution. We can do this by multiplying the concentration by the volume.Total amount=ConcentrationtimesVolumeTotal\, amount = Concentration \\times VolumeTotalamount=ConcentrationtimesVolume

STEP 3

Now, plug in the given values for the concentration and volume to calculate the total amount in the first solution.Total amount=78.084 moltimes42 LTotal\, amount =78.084\, \frac{mol}{} \\times42\, LTotalamount=78.084mol​times42L

STEP 4

Calculate the total amount in the first solution.Total amount=78.084 moltimes42 L=3279.528 molTotal\, amount =78.084\, \frac{mol}{} \\times42\, L =3279.528\, molTotalamount=78.084mol​times42L=3279.528mol

STEP 5

Next, we need to calculate the total amount of the substance in the second solution. We can do this by multiplying the concentration by the volume.Total amount=ConcentrationtimesVolumeTotal\, amount = Concentration \\times VolumeTotalamount=ConcentrationtimesVolume

STEP 6

Now, plug in the given values for the concentration and volume to calculate the total amount in the second solution.Total amount=.8084 moltimes0.9 LTotal\, amount =.8084\, \frac{mol}{} \\times0.9\, LTotalamount=.8084mol​times0.9L

STEP 7

Calculate the total amount in the second solution.Total amount=7.8084 moltimes0.9 L=7.02756 molTotal\, amount =7.8084\, \frac{mol}{} \\times0.9\, L =7.02756\, molTotalamount=7.8084mol​times0.9L=7.02756mol

STEP 8

Finally, we need to calculate the concentration of the substance in the third solution. We can do this by dividing the total amount of the substance by the volume of the solution.Concentration=Total amountVolumeConcentration = \frac{Total\, amount}{Volume}Concentration=VolumeTotalamount​

STEP 9

Now, plug in the given values for the total amount and volume to calculate the concentration in the third solution.Concentration=626.45 mol34.3 LConcentration = \frac{626.45\, mol}{34.3\, L}Concentration=34.3L626.45mol​

STEP 10

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QuestionCalculate: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

First, we need to calculate the total amount of the substance in the first solution. We can do this by multiplying the concentration by the volume.
$Total\, amount = Concentration \\times Volume$

Now, plug in the given values for the concentration and volume to calculate the total amount in the first solution.
$Total\, amount =78.084\, \frac{mol}{} \\times42\, L$

Calculate the total amount in the first solution.
$Total\, amount =78.084\, \frac{mol}{} \\times42\, L =3279.528\, mol$

Next, we need to calculate the total amount of the substance in the second solution. We can do this by multiplying the concentration by the volume.
$Total\, amount = Concentration \\times Volume$

Now, plug in the given values for the concentration and volume to calculate the total amount in the second solution.
$Total\, amount =.8084\, \frac{mol}{} \\times0.9\, L$

Calculate the total amount in the second solution.
$Total\, amount =7.8084\, \frac{mol}{} \\times0.9\, L =7.02756\, mol$

Finally, we need to calculate the concentration of the substance in the third solution. We can do this by dividing the total amount of the substance by the volume of the solution.
$Concentration = \frac{Total\, amount}{Volume}$

Now, plug in the given values for the total amount and volume to calculate the concentration in the third solution.
$Concentration = \frac{626.45\, mol}{34.3\, L}$