High School

Calculate the lethal dose (LD50) and lethal concentration (LC50) for

ethanol where:

• 30% (6/20) of the seeds germinated at a concentration of 0.6M

• 5% (1/20) of the seeds germinated at a concentration of 1.5M

• 0% (0/20) of the seeds germinated at a concentrations of 2.5M, 5M and

10M

*the total of seeds for each concentracion were 20 seeds*

When the concentration of ethanol in the petri dish was 0.6M, 6 seeds germinated and 14 seeds did not germinate.

When the concentration of ethanol in the petri dish was 1.5M, 1 seed germinated and 19 seeds did not germinate.

When the concentration of ethanol in the petri dish was 2.5M, no seed germinated.

When the concentration of ethanol in the petri dish was 5M, no seed germinated.

When the concentration of ethanol in the petri dish was 10M, no seed germinated.

Answer :

Lethal dose and lethal concentration the lethal dose (LD50) and lethal concentration (LC50) of ethanol are calculated based on the following information:

When the concentration of ethanol in the petri dish was 0.6M, 6 seeds germinated and 14 seeds did not germinate.

The total of seeds in each concentration was 20 seeds.

Therefore, 6/20 = 0.3, and 0.7 did not germinate.

The log concentration of the solution is -0.22.

By calculating the concentration that would kill 50 percent of seeds,

we get LD50 = -0.22 + [(0.5 - 0.3)/(0.7 - 0.3)] x 0.1 = -0.22 + [0.2/0.4] x 0.1 = -0.22 + 0.05 = -0.17M

When the concentration of ethanol in the petri dish was 1.5M, 1 seed germinated and 19 seeds did not germinate.

The total of seeds in each concentration was 20 seeds.

Therefore, 1/20 = 0.05, and 0.95 did not germinate.

The log concentration of the solution is 0.18.

By calculating the concentration that would kill 50 percent of seeds,

we get: LD50 = 0.18 + [(0.5 - 0.05)/(0.95 - 0.05)] x 0.1 = 0.18 + [0.45/0.9] x 0.1 = 0.18 + 0.05 = 0.23M

The LD50 of ethanol is -0.17M

when the concentration of ethanol in the petri dish is 0.6M, and it is 0.23M when the concentration of ethanol in the petri dish is 1.5M.

Since no seed germinated at the concentrations of 2.5M, 5M, and 10M, the lethal concentration (LC50) of ethanol cannot be calculated.

To learn more about lethal doses here

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