Respuesta :
Answer:
0.0025 m
Explanation:
If you use the equation ΔL = αLΔT, where ΔL equals the change in length, α equals the linear expansion coefficient, L equals the original length of the object, and ΔT equals the change in temperature, we can calculate the difference in length between the two rods.
α of aluminum = 23*10^-6
α of nickel = 13*10-6
ΔT = 50.0 degrees (derived from the 70.0-20.0)
L=5.00
Once you have gathered all of this given/known information, you may substitute it into the equation. The equation is set up to solve for the change in length so we do not need to do any rearranging. We need to solve one at a time first!
Aluminum:
ΔL=23*10^-6*5.00*50.0 = 0.00575
Nickel:
ΔL=13*10^-6*5.00*50.0 = 0.00325
The final step for solving the difference is simply subtracting the two values we just got to find the difference (similar to what we did when solving for the difference in T):
0.00575-0.00325 = 0.0025
And that's it!! Hope this was helpful!!!
The difference in length between the two rods is 0.0025m.
What is the coefficient of linear expansion?
It defines the material's property of expanding when temperature is increased.
The change in length related to the coefficient of linear expansion is given by
ΔL = αLΔT
where ΔT is the change in temperature, L is the original length and ΔL is the change in length.
An aluminum rod and a nickel rod are both 5.00 m long at 20.0°C. The temperature of each is raised to 70.0°C
α aluminum = 23*10^-6
α nickel = 13*10-6
ΔT = 70.0-20.0 = 50.0°C
L=5.00 m
Substitute the values, we get the change in length as
For Aluminum rod :
ΔL=23*10^-6*5.00*50.0 = 0.00575 m
For Nickel rod :
ΔL=13*10^-6*5.00*50.0 = 0.00325 m
The difference in length between the two rods will be
0.00575m -0.00325m = 0.0025m
Thus, difference in length between the two rods is 0.0025m.
Learn more about coefficient of linear expansion.
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