Answer: =
Explanation:
= P / (R * T) P- Pressure, R=287.058, T- temperature
From the given that
Sample mean(pressure) = 120300 Pa
Standard deviation (pressure) = 6600 Pa
Sample mean(temperature) = 340K
Standard deviation(temperature) = 8K
To calculate the Density;
Maximum pressure = Sample mean(pressure) + standard deviation (pressure) = 120300+6600 = 126900 Pa
Minimum pressure = Sample mean (pressure) - standard deviation (pressure)= 120300-6600 = 113700 Pa
Maximum temperature = Sample mean (temperature) + standard deviation (temperature) = 340+8 = 348K
Minimum temperature = Sample mean (temperature) - standerd deviation (temperature) = 340-8 = 332K
So now to calculate the density:
Maximum Density= Pressure (max)/(R*Temperature (min))= 126900/(287.058*332)= 1.331
Minimum density=Pressure(min)/(R*Temperature (max))= 113700/(287.058*348)= 1.138
Average density= (density (max)+ density (min))/2= (1.331+1.138)/2= 1.2345
cheers i hope this helps
