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A student performed a spread plate count of a bacterial culture and recorded 32 and 48 colonies on duplicate plates of the 10-4 dilution. What will be the bacterial count (cfu/ml) in the original culture? Group of answer choices 8.0 x 105 4.0 x 107 8.0 x 106 4.8 x 105 3.2 x 105 4.0 x 106 4.8 x 107 8.0 x 107 4.0 x 105 3.2 x 106 4.8 x 106 3.2 x 107

Question

A student performed a spread plate count of a bacterial culture and recorded 32 and 48 colonies on duplicate plates of the 10-4 dilution. What will be the bacterial count (cfu/ml) in the original culture?

Group of answer choices

8.0 x 105

4.0 x 107

8.0 x 106

4.8 x 105

3.2 x 105

4.0 x 106

4.8 x 107

8.0 x 107

4.0 x 105

3.2 x 106

4.8 x 106

3.2 x 107

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Solution

Para calcular el recuento bacteriano (cfu/ml) en la cultura original, sigue estos pasos:

  1. Promedio de colonias: Primero, calcula el promedio de las colonias contadas en las placas duplicadas. Promedio de colonias=32+482=40 \text{Promedio de colonias} = \frac{32 + 48}{2} = 40

  2. Dilución: La dilución utilizada es 10410^{-4}.

  3. Recuento bacteriano: Usa la fórmula para calcular el recuento bacteriano en la cultura original: cfu/ml=Nuˊmero promedio de coloniasDilucioˊn \text{cfu/ml} = \frac{\text{Número promedio de colonias}}{\text{Dilución}} cfu/ml=40104=40×104=4.0×105 \text{cfu/ml} = \frac{40}{10^{-4}} = 40 \times 10^{4} = 4.0 \times 10^{5}

Por lo tanto, el recuento bacteriano en la cultura original es 4.0×1054.0 \times 10^{5} cfu/ml.

This problem has been solved

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