A. good conductors is not a characteristic of metals out of all the other followings.
Answer:
The weight-average molar mass of polystyrene is 134,160 g/mol.
Explanation:
Molar mass of the monomer styrene ,
, M=104 g/mol
Given , number average molar mass of the polymer , M'= 89,440 g/mol
Degree of polymerization = n
![n=\frac{M'}{M}=\frac{89,440 g/mol}{104 g/mol}=860](https://tex.z-dn.net/?f=n%3D%5Cfrac%7BM%27%7D%7BM%7D%3D%5Cfrac%7B89%2C440%20g%2Fmol%7D%7B104%20g%2Fmol%7D%3D860)
The weight-average molar mass = ![M_{avg}=?](https://tex.z-dn.net/?f=M_%7Bavg%7D%3D%3F)
Molar mass dispersity is ratio of weight-average molar mass to the number average molar mass of the polymer.
![\text{Molar mass dispersity}=\frac{M_{avg}}{M'}](https://tex.z-dn.net/?f=%5Ctext%7BMolar%20mass%20dispersity%7D%3D%5Cfrac%7BM_%7Bavg%7D%7D%7BM%27%7D)
![1.5=\frac{M_{avg}}{89,440 g/mol}](https://tex.z-dn.net/?f=1.5%3D%5Cfrac%7BM_%7Bavg%7D%7D%7B89%2C440%20g%2Fmol%7D)
![M_{avg}=89,440 g/mol\times 1.5 = 134,160 g/mol](https://tex.z-dn.net/?f=M_%7Bavg%7D%3D89%2C440%20g%2Fmol%5Ctimes%201.5%20%3D%20134%2C160%20g%2Fmol)
The weight-average molar mass of polystyrene is 134,160 g/mol.
Distance traveled by the race horse=6 furlongs
Converting the distance from furlongs to rods: 40 rods =1 furlong
![6 furlongs*\frac{40rods}{1furlong} =240rods](https://tex.z-dn.net/?f=6%20furlongs%2A%5Cfrac%7B40rods%7D%7B1furlong%7D%20%3D240rods)
Converting the distance from rods to yards, feet and miles: 5.5 yards = 1 rod, 3foot =1 yard, 1 mile = 5280 feet.
![240rods*\frac{5.5yards}{1rod}*\frac{3foot}{1yard}*\frac{1mi}{5280feet}=0.75mi](https://tex.z-dn.net/?f=240rods%2A%5Cfrac%7B5.5yards%7D%7B1rod%7D%2A%5Cfrac%7B3foot%7D%7B1yard%7D%2A%5Cfrac%7B1mi%7D%7B5280feet%7D%3D0.75mi)
The given speed of race horse = 40.7mi/hr
Calculating the time required:
![0.75mi*\frac{1hr}{40.7mi}*\frac{60min}{1hr}*\frac{60s}{1min}= 66.34s](https://tex.z-dn.net/?f=0.75mi%2A%5Cfrac%7B1hr%7D%7B40.7mi%7D%2A%5Cfrac%7B60min%7D%7B1hr%7D%2A%5Cfrac%7B60s%7D%7B1min%7D%3D%2066.34s)
Therefore, 66.34 s is required for a race horse to run six furlongs at 40.7 miles per hour.
Answer is 0.1565417867........