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
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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.