A constant-pressure calorimeter is filled with 100.0 g of water. The operator of

Question

A constant-pressure calorimeter is filled with 100.0 g of water. The operator of the calorimeter hits the "calibrate" button and the instrument adds heat to water several times and measures the temperature. The instrument produces the graph you see below. The best fit equation y = m x + b appears without units. Your task is to determine the units of the quantities in that equation. i) What are the units of the variable y? _____ ii) What are the units of the variable x? _____ iii) What are the units of the fit parameter b = 9.121? _____ iv) What are the units of the fit parameter m = 0.4561 _____ v) Determine the total heat capacity of the system (calorimeter plus water) from the best fit equation.

Explanation / Answer

from the given graph, the units of y = units of y-axis = heat units

units of y = kJ

units of x= units of temperature = oC

units of b = units of y-axis ( intercept units = y units )

= kJ

units of slope = units of y-axis / units of x-axis = kJ/ oC

Heat capacity of system = heat capacity of water + heat caapcity of calorimeter = 0.4561 kJ/ oC

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