Final answer:
To calculate the cell's surface area and diameter using the universal specific membrane capacitance, the cell's capacitance value is needed. Using the specific membrane capacitance and the capacitance value, one can use the formula for the surface area of a sphere (A = 4πr²) to determine the radius, and hence the diameter of the cell.
Step-by-step explanation:
To calculate the surface area and diameter of the cell based on the nearly universal specific membrane capacitance of 1 μF/cm², we need additional information such as the capacitance of the cell. Once we have the capacitance (C) in farads, we can use the specific membrane capacitance (μF/cm²) to find the surface area (A). For a spherical cell, the surface area is given by:
A = 4πr²
Where r is the radius of the cell. To find the diameter (D), we simply double the radius, which can be obtained by rearranging the formula for the surface area once we have A:
r = √(A/(4π))
D = 2r
Without the specific capacitance value of the cell, we cannot calculate the exact surface area and diameter. However, this process outlines the steps that would be taken using the specific membrane capacitance in conjunction with the capacitance of the cell to determine the morphology of the cell.