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.

Solution 6E

Step1 of 2:

Let us consider be the change in temperature of an iron bar brought about by a transfer of heat.

Where,

= 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,

Consider,

= 1210/(0.54)(448)

= 1210/241.92

= 5.0016

Hence, = 5.0016.

Again consider,

Differentiate above equation with respect to “m” then

=

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