University of the West of England

Propagation of Uncertainty (Calculation of thermal capacity)
Link to: Video Answer
In an experiment to measure the specific heat capacity, c (J kg^{1} ^{o}C^{ 1}), of a material, a body of mass m (kg) is heated electrically using a voltage, V (volts), and current, I (amps), for a time, t (s). The temperature of the body rises from T_{1} to T_{2} (^{o}C).
The specific heat
capacity of the body is given by the equation:
i) 
Develop a spreadsheet model that will enable you to calculate the following set of results:
of the specific heat capacity, c. Within your model, you should calculate explicitly the uncertainty in the value of (T_{2}T_{1}).
The
layout and structure of your spreadsheet should be such that the
procedures for calculation are quite explicit and can be easily
understood by someone else who wants to follow your calculations. 
ii) 
Record the above results for the following input values (including standard deviation uncertainties):

iii) 
Decide, with explanations, which of the following experimental improvements would be the most effective in improving the accuracy of the overall measurement:
a) Improve the accuracy of the measurement of mass to ± 0.001 kg 