One method of estimating the temperature at the center of the sun is based on the Ideal Gas Law. Assume the center consists of gases whose average M = 0.70 kg/kmol, density= 91000 kg/m3 and pressure = 1.39 x1011 atm. Calculate the temperature (in kelvins) at the center of the sun using this method. Recall M= mass/number of moles (m/n).
To calculate the temperature at the center of the sun using the Ideal Gas Law, we can use the formula:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
First, let's rearrange the formula to solve for T:
T = PV / (nR)
In this case, we are given the values for pressure (P), density (ρ), and molar mass (M). We can use these values to calculate the number of moles (n) by dividing the mass (m) by the molar mass (M):
n = m / M
The density formula is:
ρ = m / V
Since we are looking for the temperature at the center of the sun, we need to find the volume (V) at the center. However, for this problem, we do not have enough information to directly calculate the volume.
Given this inconsistency, it is not possible to calculate the temperature at the center of the sun using the provided method and information alone.