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Time to turn up the spiciness just a little bit! This next example is similar to the previous one in that you will only use basic arithmetic operations. However, there are a lot more variables in this problem, and some mathematical substitutions will be required. But that's okay! No matter what you call a variable, it works the exact same way as any other variable. You can probably deduce the answers after one attempt, but make sure you can actually derive each expression! You will be expected to do this kind of math in this class. Consider an isolated system composed of two thermodynamic system components, A and B, in thermal contact and each at different initial temperatures (T₁,A and T₁,B). The nonzero heat (q) transferred into or out of each system can be related across the systems by: 9A-9B where each heat transfer can be expressed as: 9AMA Cs,A ATA and B = mB С₁,B ATB In the above expressions, mx is the mass of system component X (where X = A or B), Cs,x is the specific heat capacity of component X, and ATX is the temperature change from the initial conditions to thermal equilibrium for component X. Note that ATX = Tfx - Tix where f and i indicate the final and initial temperatures of component X, respectively. Label each of the following mathematical statements as true or false given qA = -9B. qx = mx Cs,x ATX, and ATX = Tf,x - Ti,x are true. (1) mA CS,A ATA =-MB Cs,B ATB True (2) QA-mB Cs,B ATB False (3) MACs,A (TJ.A - Ti,A) = mB C₁,B (TJ.B - Ti,B) choose your answer... (4) -ATA Cs,A mA = Cs,B MB ATB choose your answer... V (5) mA CS,A TJ,AMA Cs,A Ti,A=-MB Cs,B TfB +mB Cs,B TiB choose your answer... (6) mA CS,A TJ,A +mB Cs,B TB = MA Cs,A T₁,A+MB Cs,B Ti,B choose your answer... V

Time to turn up the spiciness just a little bit! This next example is similar to the previous one in that you will only use basic arithmetic operations. However, there are a lot more variables in this problem, and some mathematical substitutions will be required. But that's okay! No matter what you call a variable, it works the exact same way as any other variable. You can probably deduce the answers after one attempt, but make sure you can actually derive each expression! You will be expected to do this kind of math in this class. Consider an isolated system composed of two thermodynamic system components, A and B, in thermal contact and each at different initial temperatures (T₁,A and T₁,B). The nonzero heat (q) transferred into or out of each system can be related across the systems by: 9A-9B where each heat transfer can be expressed as: 9AMA Cs,A ATA and B = mB С₁,B ATB In the above expressions, mx is the mass of system component X (where X = A or B), Cs,x is the specific heat capacity of component X, and ATX is the temperature change from the initial conditions to thermal equilibrium for component X. Note that ATX = Tfx - Tix where f and i indicate the final and initial temperatures of component X, respectively. Label each of the following mathematical statements as true or false given qA = -9B. qx = mx Cs,x ATX, and ATX = Tf,x - Ti,x are true. (1) mA CS,A ATA =-MB Cs,B ATB True (2) QA-mB Cs,B ATB False (3) MACs,A (TJ.A - Ti,A) = mB C₁,B (TJ.B - Ti,B) choose your answer... (4) -ATA Cs,A mA = Cs,B MB ATB choose your answer... V (5) mA CS,A TJ,AMA Cs,A Ti,A=-MB Cs,B TfB +mB Cs,B TiB choose your answer... (6) mA CS,A TJ,A +mB Cs,B TB = MA Cs,A T₁,A+MB Cs,B Ti,B choose your answer... V

Chemistry
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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Time to turn up the spiciness just a little bit! This next example is similar to the previous one in that you will only use basic arithmetic operations. However, there are a lot more variables in this problem, and some mathematical substitutions will be required. But that's okay! No matter what you call a variable, it works the exact same way as any other variable. You can probably deduce the answers after one attempt, but make sure you can actually derive each expression! You will be expected to do this kind of math in this class. Consider an isolated system composed of two thermodynamic system components, A and B, in thermal contact and each at different initial temperatures (T₁,A and T₁,B). The nonzero heat (q) transferred into or out of each system can be related across the systems by: 9A-9B where each heat transfer can be expressed as: qA MA CSA ATA and qB = mB Сs,B ATB In the above expressions, mx is the mass of system component X (where X = A or B), Cs,x is the specific heat capacity of component X, and ATX is the temperature change from the initial conditions to thermal equilibrium for component X. Note that ATX = Tf,x - Ti,x where f and i indicate the final and initial temperatures of component X, respectively. Label each of the following mathematical statements as true or false given QA =-qB, qx = mx Cs,x ATX, and ATX = Tfx - Ti,x are true. (1) MACS,A ATA = mB Cs,B. ATB True (2) A mB Cs,B ATB False . (3) ma Cs,A (Tƒ,A - Ti,A) =-MB Сs,B (Tf,B - Ti,B) (4) -ATA CS,A MA = . Cs,B. MB ATB (5) mA Cs,A Tf,A MA CS, A TI,A . . choose your answer... choose your answer... =-MB Сs,B Tf,B + MB Cs,B Ti,B (6) MA CS,A Tf,A+MB Cs,B Tf,B = mA· Cs,A Ti,A+MB Cs,B • T₁,B . • choose your answer... choose your answer...
Transcribed Image Text:Time to turn up the spiciness just a little bit! This next example is similar to the previous one in that you will only use basic arithmetic operations. However, there are a lot more variables in this problem, and some mathematical substitutions will be required. But that's okay! No matter what you call a variable, it works the exact same way as any other variable. You can probably deduce the answers after one attempt, but make sure you can actually derive each expression! You will be expected to do this kind of math in this class. Consider an isolated system composed of two thermodynamic system components, A and B, in thermal contact and each at different initial temperatures (T₁,A and T₁,B). The nonzero heat (q) transferred into or out of each system can be related across the systems by: 9A-9B where each heat transfer can be expressed as: qA MA CSA ATA and qB = mB Сs,B ATB In the above expressions, mx is the mass of system component X (where X = A or B), Cs,x is the specific heat capacity of component X, and ATX is the temperature change from the initial conditions to thermal equilibrium for component X. Note that ATX = Tf,x - Ti,x where f and i indicate the final and initial temperatures of component X, respectively. Label each of the following mathematical statements as true or false given QA =-qB, qx = mx Cs,x ATX, and ATX = Tfx - Ti,x are true. (1) MACS,A ATA = mB Cs,B. ATB True (2) A mB Cs,B ATB False . (3) ma Cs,A (Tƒ,A - Ti,A) =-MB Сs,B (Tf,B - Ti,B) (4) -ATA CS,A MA = . Cs,B. MB ATB (5) mA Cs,A Tf,A MA CS, A TI,A . . choose your answer... choose your answer... =-MB Сs,B Tf,B + MB Cs,B Ti,B (6) MA CS,A Tf,A+MB Cs,B Tf,B = mA· Cs,A Ti,A+MB Cs,B • T₁,B . • choose your answer... choose your answer...
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