Question #22239

4. determine the initial temperature of 225 g of water that absorbs 300. J of heat and ends at a temperature of 87.5 oC.

Expert's answer

Question 22239

The amount of energy, that water absorbs is connected with changes in temperature by this formula: Q=cmΔT=cm(T1T0)Q = c m \Delta T = c m (T_{1} - T_{0}) , where cc is heat capacitance, mm is the mass, and ΔT\Delta T is the difference in temperature at the beginning and end. For water, c=4200c = 4200 .

Hence, 300J=4200Jkg2251000kg(87,5T0)T0=87,1825300J = 4200\frac{J}{kg}\frac{225}{1000} kg(87,5 - T_0)\Rightarrow T_0 = 87,1825{}^\circ

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