Refer to Exercise Assume that and are known with negligible uncertainty. Assume the mass is . Estimate , and find the relative uncertainty in the estimate.
Step 1 of 1:
The change in temperature of an iron bar about by a transfer of heat is
Where is the amount of heat transferred.
m is the mass of the bar.
Here kg and
c is the the specific heat of iron.
Here c = 448 J/Kg0C.
Our goal is:
We need to find the estimate value of the and the relative uncertainty in the estimate.
Now we have to find the estimate value of the .
From the given information we have = 1210, m = 0.75, c = 448,
Substitute all the values in the above equation.
Therefore, = 3.6011.
Again consider .
Now we differentiate above equation with respect to “m” then
Therefore, = -4.8015.
Now we have to find the estimate of uncertainty.
Then the estimate of uncertainty is given by
Therefore, The estimate of uncertainty is 0.0480.
The estimate of uncertainty is 0.0480.