An aluminum alloy rod has a length of 6.3243 cm at 16.00°c and a length of 6.3568 cm at the boiling point of water. (a) what is the length of the rod at the freezing point of water? (b) what is the temperature if the length of the rod is 6.3689 cm?

a)

b

Explanation:

Given :

Let be the coefficient of linear thermal expansion of aluminium alloy

When the temperate of the rod is increased then its length will be changed accordingly. Let be its length at freezing point of water at T=

According to question we have

a)

Solving above two equations we get

b) Let be the temperature of the rod when its length is 6.3689 m then we have

Also we have

Solving above two equations we have

a.) is the correct answer.

explanation:

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14