Math  /  Data & Statistics

QuestionProblem 25: (5\% of Assignment Value) The same heat transfer into identical masses of different substances produces different temperature changes, due to differences in the heat capacity of the various materials. \begin{tabular}{|l|c|c|} \hline \multicolumn{1}{|c|}{ Substances } & \multicolumn{2}{c|}{ Specific heat (c)(c)} \\ \hline \multicolumn{1}{|c|}{ Solids } & J/kgC\mathrm{J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C} & kcal/kgC\mathrm{kcal} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C} \\ \hline Aluminum & 900 & 0.215 \\ \hline Concrete & 840 & 0.20 \\ \hline Copper & 387 & 0.0924 \\ \hline Glass & 840 & 0.20 \\ \hline Human Body (37C)\left(37^{\circ} \mathrm{C}\right) & 3500 & 0.83 \\ \hline Iron, steel & 452 & 0.108 \\ \hline \multicolumn{1}{|c|}{ Liquids } & & \\ \hline Water & 4186 & 1.000 \\ \hline Mercury & 139 & 0.0333 \\ \hline \end{tabular}
Otheexpertta.com - Part (a) v\boldsymbol{v}
Calculate the final temperature, in degrees Celsius, when 1.25 kcal of heat transfers to 1.25 kg of water, originally at 20C20^{\circ} \mathrm{C}. Tw=21.00CT_{\mathrm{w}}=21.00^{\circ} \mathrm{C}
Correct! - Part (b) V\boldsymbol{V}.
Calculate the final temperature, in degrees Celsius, when 1.25 kcal of heat transfers to 1.25 kg of concrete, originally at 20C20^{\circ} \mathrm{C}. Tc=25.00CT_{\mathrm{c}}=25.00^{\circ} \mathrm{C} 7{ }^{7} Correct! - Part (c) V\boldsymbol{V}
Calculate the final temperature, in degress Celsius, when 1.25 kcal of heat transfers to 1.25 kg of the steel, originally at 20C20^{\circ} \mathrm{C}. Ts=29.30CT_{\mathrm{s}}=29.30^{\circ} \mathrm{C} \checkmark Correct! Part (d) Calculate the final temperature, in degrees Celsius, when 1.25 kcal of heat transfers to 1.25 kg of the mercury, originally at 20C20^{\circ} \mathrm{C}.

Studdy Solution
Calculate the final temperature by adding the change in temperature to the initial temperature:
Tfinal=Tinitial+ΔT=20C+30.02C=50.02CT_{\mathrm{final}} = T_{\mathrm{initial}} + \Delta T = 20^{\circ} \mathrm{C} + 30.02^{\circ} \mathrm{C} = 50.02^{\circ} \mathrm{C}
The final temperature when 1.25 kcal of heat transfers to 1.25 kg of mercury, originally at 20C20^{\circ} \mathrm{C}, is:
50.02C \boxed{50.02^{\circ} \mathrm{C}}

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