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# The change in temperature of an iron bar brought about by ISBN: 9780073401331 38

## Solution for problem 6E Chapter 3.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 6E

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.

Step-by-Step Solution:
Step 1 of 3

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.

= 0.54 0.01 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 = ...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

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