1. Consider a situation where two volumes of water, one hot, one cold, are both added to a foamcup.(a) Sketch a diagram for the cup and volumes of water, using a dashed line to separate thetwo volumes, and label all the components.(b) To your sketch, add a line and label it to indicate the heat flow in this system. For now,asssume the foam is a perfect insulator.(c) Write the mathematical relationship between the heat flows for the hot and cold water,hot and cold based on you diagram from parts (a) and (b).(d) Once the water is well-mixed, both volumes of water come to the same temperature Tf.Write the mathematical expressions for the temperature changes for each of the volumesof water, ATcold and AThot, assuming they started at Tcold and Thot for the cold and hotwater respectively.(e) Assuming that the foam undergoes the same temperature change as the cold water (it'sno longer a perfect insulator!), write a modified version of your equation from part (c)that relates the heat flows for the hot and cold water and the foam cup, qhot, cold, and9foam.(f) Re-write your equation from part (e) replacing each of the heat flows with the appro-priate masses mcold and mhot, heat capacities Cp, H₂O and Ccup = mcup x CP, foam,andtemperature changes Tcold and Thot.

“Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

1. Consider a situation where two volumes of water, one hot, one cold, are both added to a foam cup. (a) Sketch a diagram for the cup and volumes of water, using a dashed line to separate the two volumes, and label all the components. (b) To your sketch, add a line and label it to indicate the heat flow in this system. For now, asssume the foam is a perfect insulator. (c) Write the mathematical relationship between the heat flows for the hot and cold water, hot and cold based on you diagram from parts (a) and (b).

1. Consider a situation where two volumes of water, one hot, one cold, are both added to a foam cup. (a) Sketch a diagram for the cup and volumes of water, using a dashed line to separate the two volumes, and label all the components. (b) To your sketch, add a line and label it to indicate the heat flow in this system. For now, asssume the foam is a perfect insulator. (c) Write the mathematical relationship between the heat flows for the hot and cold water, hot and cold based on you diagram from parts (a) and (b).

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

1. Consider a situation where two volumes of water, one hot, one cold, are both added to a foam
cup.
(a) Sketch a diagram for the cup and volumes of water, using a dashed line to separate the
two volumes, and label all the components.
(b) To your sketch, add a line and label it to indicate the heat flow in this system. For now,
asssume the foam is a perfect insulator.
(c) Write the mathematical relationship between the heat flows for the hot and cold water,
hot and cold based on you diagram from parts (a) and (b).
(d) Once the water is well-mixed, both volumes of water come to the same temperature Tf.
Write the mathematical expressions for the temperature changes for each of the volumes
of water, ATcold and AThot, assuming they started at Tcold and Thot for the cold and hot
water respectively.
(e) Assuming that the foam undergoes the same temperature change as the cold water (it's
no longer a perfect insulator!), write a modified version of your equation from part (c)
that relates the heat flows for the hot and cold water and the foam cup, qhot, cold, and
9foam.
(f) Re-write your equation from part (e) replacing each of the heat flows with the appro-
priate masses mcold and mhot, heat capacities Cp, H₂O and Ccup = mcup x CP, foam,
and
temperature changes Tcold and Thot.

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