The change in temperature of an iron bar brought about by a transfer of heat is given by where is the amount of heat transferred, m is the mass of the bar, and c is the specific heat of iron. Assume that c = 448 J/kg°C and are known with negligible uncertainty. Assume the mass is m = 0.54±0.01 kg. Estimate and find the uncertainty in the estimate.
Step1 of 2:
Let us consider be the change in temperature of an iron bar brought about by a transfer of heat.
= the amount of heat transferred.
= 1210 J.
m = mass of the bar.
= 0.540.01 Kg.
c = the specific heat of iron.
= 448 J/Kg0C.
We need to find the uncertainty in the estimate.
Step2 of 2:
From the given information we have = 1210, m = 0.54, c = 448,
Hence, = 5.0016.
Differentiate above equation with respect to “m” then