Specific Heat Capacity: Difference between revisions

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by Dejan Tojcic


==Specific Heat Capacity ==
Specific Heat is simply a physical quantity that represents the ratio of the amount of heat taken or added to substance or object which results in a temperature change. The formal definition of Specific Heat is the amount of heat required to raise the temperature of 1 gram of a substance 1°C. The Standard Unit(SI) of this quantity is, joule per celsius per kilogram  <math>\mathrm{\tfrac{J}{C*Kg}}</math>.
===A Mathematical Model===
In order to find the Specific Heat Capacity of a substance, we use the equation:<math> \Delta E_{\mathrm{thermal}} = C * M * \Delta T </math>,  and rearrange it to get <math> C= \Delta E_{\mathrm{thermal}} /( M * \Delta T) .</math> where ''C'' is the Specific Heat Capacity with units of joules per celsius per kilogram or  <math>\mathrm{\tfrac{J}{°C*Kg}}</math>, ''M'' is the mass measured in kilograms or <math>\mathrm{kg}</math>, ''<math> \Delta E_{\mathrm{thermal}} </math>''  represents the change in thermal energy measured by joules or <math>\mathrm{J}</math>, and  ''<math> \Delta T </math>'' represents change in temperature with units celsius or <math>\mathrm{°C.}</math>
===A Computational Model===
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]
=Simple Example=
[[File:pathindependence.png]]
In this example, the electric field is equal to <math> E = \left(E_x, 0, 0\right)</math>. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use <math>dV = V_C - V_A </math>.
Since there are no y and z components of the electric field, the potential difference is <math> dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right)  = -E_x*x_1</math>
[[File:BC.png]]
Let's say there is a location B at <math> \left(x_1, 0, 0\right) </math>. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C.
The potential difference between A and B is <math>dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1</math>.
The potential difference between B and C is <math>dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0</math>.
Therefore, the potential difference A and C is <math>V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 </math>, which is the same answer that we got when we did not use location B.
==Connectedness==
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==History==
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== See also ==
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===Further reading===
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===External links===
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==References==
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Latest revision as of 08:49, 2 August 2019