water heated to 50 degrees celsius is poured on our body during bathing what is equilibrium temperature of our body.spesific heat of water is 1.
To determine the equilibrium temperature of your body after water heated to 50 degrees Celsius is poured on it during bathing, we need to consider the principle of thermal equilibrium. This principle states that when two objects come into contact, heat will flow from the hotter object to the cooler object until both reach the same temperature.
The specific heat capacity of water (c) is a measure of how much energy is required to raise the temperature of a given mass of water by one degree Celsius. In this case, the specific heat capacity of water is given as 1 (cal/g°C).
To determine the equilibrium temperature, we need to know the specific heat capacity of the human body as well. The specific heat capacity of the human body is approximately 3.5 (cal/g°C).
Now, let's assume that the mass of water poured on your body is m grams. The temperature of the water before heating is irrelevant for this calculation. The specific heat capacity of water does not change as it is poured on your body.
When the water is poured on your body at 50 degrees Celsius, it will transfer heat to your body until both reach the same temperature. Let's assume the equilibrium temperature is T.
Using the principle of thermal equilibrium, we can set up the following equation:
(m * c * (50 - T)) = (m * 3.5 * (T - 37))
Where:
m is the mass of water in grams
c is the specific heat capacity of water (1 cal/g°C)
50 is the initial temperature of the water
T is the equilibrium temperature
37 is the normal body temperature in Celsius
Simplifying the equation, we get:
50c - Tc = 3.5T - 129.5
Rearranging the equation:
4.5T = 50c + 129.5
Finally, solving for T:
T = (50c + 129.5) / 4.5
Substituting the value of c (1) into the equation:
T = (50 + 129.5) / 4.5
T = 35.44 °C
Therefore, the equilibrium temperature of your body after water heated to 50 degrees Celsius is poured on it during bathing would be approximately 35.44 degrees Celsius.