Phenol coefficient calculation: A 1:600 dilution of a test compound kills a standard Staphylococcus aureus population in 10 minutes (but not 5 minutes). A 1:60 dilution of phenol achieves the same kill time. What is the phenol coefficient of the test compound?

Difficulty: Easy

Correct Answer: 10

Explanation:


Introduction:
The phenol coefficient compares the disinfecting power of a test agent to phenol under standardized conditions. It is a ratio of effective dilutions producing the same kill in the same time.


Given Data / Assumptions:

  • Test compound effective dilution (10 min kill): 1:600.
  • Phenol effective dilution (10 min kill): 1:60.
  • Same organism, temperature, and exposure time.


Concept / Approach:
Phenol coefficient = (dilution of test agent that is effective) / (dilution of phenol that is effective). Use the highest dilution (greatest number) that produces the specified effect in the specified time for both agents.


Step-by-Step Solution:
Write the ratio using effective dilutions. PC = (600) / (60). Compute: 600 / 60 = 10. Therefore the test agent is 10× as effective as phenol by this metric.


Verification / Alternative check:
If the time requirement changed (e.g., 5 minutes), you would use the corresponding effective dilutions for both substances; here only the 10-minute result qualifies for both, so the ratio is unambiguous.


Why Other Options Are Wrong:
1, 5, 50, 100 – do not match the computed ratio 600/60.


Common Pitfalls:
Inverting the ratio (phenol/test) or using non-comparable times, which gives the wrong coefficient.


Final Answer:
10.

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