Hello,
I wanted to know if I came to the correct answer in the following problem...
Thank You
I used:
I=LK(To-Tf)
LD=L-I
A silver bar 0.125 meter long is subjected to a temperature change from 200 degrees celsius to 100 degrees celsius. What will be the length of the bar after the temperature change?
My answer:
0.00002363 meter
To solve this problem, you applied the formula for thermal expansion:
I = L * K * (To - Tf)
In this formula,
I represents the change in length,
L is the original length of the bar,
K is the coefficient of linear expansion,
To is the initial temperature,
and Tf is the final temperature.
Here, you correctly substituted the values given in the problem:
L = 0.125 meters,
To = 200 degrees Celsius,
Tf = 100 degrees Celsius.
Now, to find the change in length (I), you multiplied the original length (L) by the coefficient of linear expansion (K), and then by the temperature difference (To - Tf).
After obtaining the value of I, you tried to calculate the final length of the bar by subtracting the change in length (I) from the original length (L). However, you calculated the incorrect value.
To check the accuracy of your answer, you can use the formula:
LD = L - I,
where LD represents the final length of the bar. Let's calculate it:
LD = 0.125 - 0.00002363 = 0.12497637 meters.
So, according to your calculations, the correct answer is approximately 0.12497637 meters (or approximately 0.125 meters when rounded to three decimal places).