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What volume of liquid benzene would you need to put in a 5ft x 5ft x 5ft container to obtain a vapor concentration of 1ppm

User AnkiiG
by
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1 Answer

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Answer:

So, you would need approximately 0.010214 cubic feet of liquid benzene to achieve a vapor concentration of 1 ppm in a 5 ft x 5 ft x 5 ft container.

Step-by-step explanation:

To determine the volume of liquid benzene needed to achieve a vapor concentration of 1 ppm (parts per million) in a 5 ft x 5 ft x 5 ft container, we need to consider the physical properties of benzene and the principles of concentration.

First, let's define the given information and make some assumptions:

Container dimensions: 5 ft x 5 ft x 5 ft (this gives us the volume of the container).

Target vapor concentration: 1 ppm.

Now, we need to calculate the amount of benzene needed to achieve this concentration. To do this, we can use the ideal gas law, which relates the concentration of a gas to its volume, pressure, and temperature. The formula for concentration in ppm is:

Concentration (ppm)

=

Number of moles of solute

Volume of air (cubic feet)

×

1

0

6

Concentration (ppm)=

Volume of air (cubic feet)

Number of moles of solute

×10

6

Since we're interested in the volume of liquid benzene needed, we'll rearrange this formula to solve for the volume of liquid benzene:

Volume of liquid benzene (cubic feet)

=

Concentration (ppm)

1

0

6

×

Volume of air (cubic feet)

×

Molar volume of benzene (cubic feet/mole)

Volume of liquid benzene (cubic feet)=

10

6

Concentration (ppm)

×Volume of air (cubic feet)×Molar volume of benzene (cubic feet/mole)

Now, we need to find the molar volume of benzene. The molar volume of a gas at standard temperature and pressure (STP) is approximately 24.45 liters/mole (which is approximately 0.8615 cubic feet/mole).

Substituting the values into the formula:

Volume of liquid benzene

=

1

ppm

1

0

6

×

(

5

ft

×

5

ft

×

5

ft

)

×

0.8615

cubic feet/mole

Volume of liquid benzene=

10

6

1 ppm

×(5 ft×5 ft×5 ft)×0.8615 cubic feet/mole

Calculating this gives:

Volume of liquid benzene

0.010214

Volume of liquid benzene≈0.010214cubicfeet

So, you would need approximately 0.010214 cubic feet of liquid benzene to achieve a vapor concentration of 1 ppm in a 5 ft x 5 ft x 5 ft container.

User Vladimir Trifonov
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