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--- courses:phy101l:5 [2023/08/13 03:17] – asad
+++ courses:phy101l:5 [2023/12/07 05:46] (current) – [2. Method and data] asad
@@ Line 1: / Line 1: @@
-====== 5. Heat capacity of solids and liquids ======
+====== 5. Heat capacity of liquids ======
 [[https://colab.research.google.com/drive/1L5s2S6XH1c2YIyqN4_tE2pf-04aXXZJl?usp=sharing|Google Colab example]]
 ===== - Introduction =====
+The goal of the experiment is to measure the specific heat capacity of kerosene and compare it with the given value for finding the accuracy of the measurement.
-===== - Experimental setup =====
+Same amount of heat $Q$ is given to 100 ml of water and kerosene, so
+$$ Q = m_w c_w \Delta T_w = m_k c_k \Delta T_k $$
+where $m_w$ and $m_k$ are the mass of water and kerosene, $c_w$ and $c_k$ are the **specific heat capacity** of water and kerosene, and $\Delta T_w$ and $\Delta T_k$ are the rise in temperature due to the given heat for water and kerosene. Therefore
+$$ c_k = \frac{m_w c_w \Delta T_w}{m_k \Delta T_k} $$
+which can be used to measure $c_k$. Define specific heat capacity using the unit J g$^{-1}$ K$^{-1}$.
+Calculate the mass of water and kerosene given the volume $V$ and density $\rho$ using the relation
+$$ \rho = \frac{m}{V} \Rightarrow m = V \rho. $$
+The volume is 100 ml where 1 ml = 1 cm$^3$. The densities of water ($\rho_w$) and kerosene (\rho_k) are given below.
+^ Material ^ Density [g cm$^{-3}$] ^ Specific heat capacity [J g$^{-1}$ K$^{-1}$] ^
+| Water | $1.00$ | $4.19$ |
+| Kerosene | $0.82$ | $2.40$ |
 ===== - Method and data =====
+==== - List of apparatus ====
+  - Beaker
+  - Thermometer
+  - Water, kerosene Oil
+  - Stopwatch
+  - Sprit Lamp
+  - Wire Gauze
+  - Tripod
+==== - Setup and procedure ====
+  - Ordered List Item 1
+  - Ordered List Item 2
+==== Data table ====
+^ Time [min] ^ 100 ml Water ^ 100 ml Kerosene ^
+| 0 |  |  |
+| 0.5 |  |  |
+| 1 |  |  |
+| 1.5 |  |  |
+| 2 |  |  |
+| 2.5 |  |  |
+| 3 |  |  |
+| 3.5 |  |  |
+| 4 |  |  |
+| 4.5 |  |  |
+| 5 |  |  |
+===== - Graphical analysis =====
-===== - Analysis and results =====
+===== - Specific heat capacity =====
 ===== - Discussion and conclusion =====