2015年2月26日 星期四

Day 1: Temperature Convertion, Heat Flow


Temperature Convertion
  
  The first activity we have done for the class is to find the linear relationship and draw the slope between degree Fahrenheit (y-axis) and Celsius (x-axis). We chose two points (0 degree C and 32 degree F and 37.8 degree C and 100 degree F) to sketch our line, then we got the slope of the graph which is 9/5. And we got the function F = (9/5)C + 32. 
      We also converted the room temperature between Fahrenheit, Celsius, and Kelvin. We also calculated the standard deviation of the room temperature in Kelvin and our group got 295 +/- 1.740 K as room temperature. The uncertainty was 1.740 K.  


Heat Flow
      
   The second activity we did in class was mixing two cups of water with different temperature and to calculate the final temperature. We used the formula [(m1)(c1)(T1)] + (m2)(c2)(T2) = (mTot)(c)(Tf) to calculate the final temperature when they mixed up together. (Q = heat; m = mass; c = specific heat; Tf = final temperature; Ti = initial temperature.) And we calculated that the final temperature was 47.7 degree C. For this activity we did not calculate the uncertainty since there was only one data point. 

 This is another activity which the Professor Mason put the aluminum can which contained some water in the Styrofoam cup and we observed that the temperature change until it reached the equilibrium point. We also calculated the final temperature and we found that the result was inaccurate because some heat escaped as the can was put in the Styrofoam cup.

 The picture shows that the temperature 1 (water inside of can)and temperature 2 (water in Styrofoam cup) reach equilibrium. But temperature 2 dropped faster. 



The picture shows the law of cooling.

 This shows the variables that the rate of cooling of an object in a large room might depend on.


Then we have another problem where a piece of aluminum bar and copper bar touch each other. And our job was calculate temperature change and final temperature by using the formula: dQ/dt = A (Tf - Ti) / R


This shows the slope line between temperature and heat


From the equation Q = mx + b, we could find m and b on the Logger Pro, and after we plugged in those numbers, we can calculate c using the formula c = Q/m(Tf - Ti) 


Conclusion
  Today's class we learned about heat flow and energy exchanges by doing activities such as mixing water, mixing metals, and mix water in a can with a Styrofoam cup. Also, we learned important formulas for thermodynamics such as  dQ/dt = A (Tf - Ti) / R, dQ/dt = kA (Tf - Ti) / L, and R = L/K.




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