You arrive at a crime scene at $$ 10: 00 $$ pm where a convenient store has been robbed and the owner of the store has been shot to death. If ambient conditions are ideal, what would be the approximate temperature of the liver if the shooting happened 4 hours prior to your arrival at the scene?

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To determine the approximate temperature of the liver 4 hours after death, we can use the concept of post-mortem cooling. The rate of cooling of the body after death is influenced by several factors, including the ambient temperature, the size of the body, and the clothing worn by the deceased.

Given that the ambient conditions are ideal, we can assume a steady-state cooling process. The rate of cooling can be estimated using the following formula:

$$ \text{Temperature} = \text{Initial Temperature} - \text{Cooling Rate} \times \text{Time} $$

Where:
- Initial Temperature is the body temperature at the time of death (approximately 37°C or 98.6°F).
- Cooling Rate is the rate at which the body cools down per hour.
- Time is the time elapsed since death.

The cooling rate can be estimated as follows:
- For a body in a warm environment (around 20°C or 68°F), the cooling rate is approximately 1.5°C (2.7°F) per hour.
- For a body in a cool environment (around 10°C or 50°F), the cooling rate is approximately 2.5°C (4.5°F) per hour.

Since the ambient conditions are ideal, we will use the cooling rate for a warm environment.

Given that the shooting happened 4 hours prior to your arrival at the scene, we can calculate the approximate temperature of the liver as follows:

$$ \text{Temperature} = 37°C - 1.5°C/h \times 4h $$

$$ \text{Temperature} = 37°C - 6°C $$

$$ \text{Temperature} = 31°C $$

Therefore, the approximate temperature of the liver 4 hours after death would be around 31°C (87.8°F).
The liver's approximate temperature 4 hours after death is about 31°C (87.8°F).

You arrive at a crime scene at pm where a convenient store has been robbed and the
owner of the store has been shot to death. If ambient conditions are ideal, what would be the
approximate temperature of the liver if the shooting happened 4 hours prior to your arrival at
the scene?

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You arrive at a crime scene at pm where a convenient store has been robbed and the owner of the store has been shot to death. If ambient conditions are ideal, what would be the approximate temperature of the liver if the shooting happened 4 hours prior to your arrival at the scene?