Final answer:
The desired average power to increase tissue temperature by 4 degrees Celsius during a diathermy treatment would be 48 W, as it would require approximately 0.29 seconds to achieve the desired temperature increase.
So, the correct answer is d. 48 W.
Step-by-step explanation:
To determine the desired average power to increase tissue temperature by 4 degrees Celsius during a diathermy treatment, we need to consider the specific heat capacity of the tissue and the time required for heating.
The formula for calculating the heat energy required to raise the temperature of a substance is:
Q = mcΔT
Where:
Q is the heat energy (in joules) m is the mass of the substance (in kilograms)
c is the specific heat capacity of the substance (in joules per kilogram per degree Celsius)
ΔT is the change in temperature (in degrees Celsius)
In this case, we are interested in increasing tissue temperature by 4 degrees Celsius. The specific heat capacity of human tissue varies depending on factors such as composition and water content but is typically around 3.5 J/g°C (joules per gram per degree Celsius).
To simplify calculations, we can assume a mass of 1 gram (since specific heat capacity is given per gram). Therefore, for a 4-degree Celsius increase in temperature:
Q = (1g) (3.5 J/g°C) (4°C) = 14 J
The next step is to determine the time required for heating. Diathermy treatments involve applying electromagnetic waves or electric currents to generate heat within tissues. The power applied determines how quickly heat is generated. The formula for power is:
P = Q / t
Where: P is power (in watts) Q is the heat energy (in joules) t is time (in seconds)
We can rearrange this formula to solve for time:
t = Q / P
Given that Q = 14 J and we want to find the desired average power, we can substitute these values into the equation:
t = 14 J / P
Now, let’s consider each option provided and calculate the corresponding time required:
a. 12 W: t = 14 J / 12 W = 1.17 seconds
b. 24 W: t = 14 J / 24 W = 0.58 seconds
c. 36 W: t = 14 J / 36 W = 0.39 seconds
d. 48 W: t = 14 J / 48 W = 0.29 seconds
Therefore, the desired average power to increase tissue temperature by 4 degrees Celsius during a diathermy treatment would be 48 W (option d), as it would require approximately 0.29 seconds to achieve the desired temperature increase.
So, the correct answer is d. 48 W.