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<h1>Bomb Calorimeter – SSC JE 2018 Question</h1>The Bomb Calorimeter is a classic laboratory instrument used in thermal engineering to measure the calorific value of fuels. 
Here’s a question from SSC JE 23.01.2018 (Morning Shift).<hr data-start="325" data-end="328"><h3 data-start="330" data-end="347">Question:</h3><h5>The bomb calorimeter is an apparatus to measure the:</h5><h5>(a) Calorific value of a gaseous fuel / गैसीय ईंधन का ऊष्मीय मान 
(b) Calorific value of solid and gaseous fuels / ठोस और गैसीय ईंधन के ऊष्मीय मान 
(c) Calorimetric composition of any solid bomb material / किसी भी ठोस बम सामग्री की कैलोरीमेट्रिक संरचना 
(d) Calorific value of a solid or liquid fuel / ठोस या तरल ईंधन के ऊष्मीय मान</h5><hr data-start="746" data-end="749"><h3 data-start="751" data-end="776">Video Solution</h3>In my video explanation, I’ve shown how a bomb calorimeter works with a schematic diagram and how to calculate the calorific value using the temperature rise in water. <h5><a data-start="955" data-end="985" class="" rel="noopener" href="https://www.youtube.com/watch?v=1PdmntFewyw&list=PLjQMEOXj4i1_I4Lg19iJ7L43an_XWUWg7&index=7" target="_blank" style="">Watch Full Video Solution</a></h5><hr data-start="988" data-end="991"><h3 data-start="993" data-end="1018">Correct Answer:</h3>(d) Calorific value of a solid or liquid fuel / ठोस या तरल ईंधन के ऊष्मीय मान<hr data-start="1104" data-end="1107"><h3 data-start="1109" data-end="1129">Explanation:</h3><ul data-start="1130" data-end="1494">
<li data-start="1130" data-end="1223">
The Bomb Calorimeter measures the heat of combustion of a known quantity of fuel.
</li>
<li data-start="1224" data-end="1326">
It is particularly used for solid (e.g., coal, biomass) and liquid fuels (e.g., fuel oil).
</li>
<li data-start="1327" data-end="1408">
The fuel is burned in a strong steel vessel (the “bomb”) surrounded by water.
</li>
<li data-start="1409" data-end="1494">
The temperature rise of water is measured to determine the calorific value.
</li>
</ul><hr data-start="1496" data-end="1499"><h3 data-start="1501" data-end="1527">Working Principle:</h3><ol data-start="1528" data-end="2114">
<li data-start="1528" data-end="1581">
A weighed fuel sample is placed inside the bomb.
</li>
<li data-start="1582" data-end="1635">
The bomb is filled with oxygen at high pressure.
</li>
<li data-start="1636" data-end="1692">
The bomb is submerged in a known quantity of water.
</li>
<li data-start="1693" data-end="1743">
Fuel is ignited electrically, releasing heat.
</li>
<li data-start="1744" data-end="1791">
Temperature rise of the water is recorded.
</li>
<li data-start="1792" data-end="2114">
Calorific value is calculated using:
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>C</mi><mi>V</mi><mo>=</mo><mfrac><mrow><mo stretchy="false">(</mo><msub><mi>m</mi><mi>w</mi></msub><msub><mi>C</mi><mi>w</mi></msub><mo>+</mo><msub><mi>m</mi><mi>c</mi></msub><msub><mi>C</mi><mi>c</mi></msub><mo stretchy="false">)</mo><mi mathvariant="normal">Δ</mi><mi>T</mi></mrow><msub><mi>m</mi><mi>f</mi></msub></mfrac></mrow><annotation encoding="application/x-tex">CV = \frac{(m_w C_w + m_c C_c) \Delta T}{m_f}</annotation></semantics></math>CV=mf(mwCw+mcCc)ΔT
Where:
<ul data-start="1910" data-end="2114">
<li data-start="1910" data-end="1937">
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>m</mi><mi>w</mi></msub></mrow><annotation encoding="application/x-tex">m_w</annotation></semantics></math>mw = Mass of water
</li>
<li data-start="1941" data-end="1977">
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>C</mi><mi>w</mi></msub></mrow><annotation encoding="application/x-tex">C_w</annotation></semantics></math>Cw = Specific heat of water
</li>
<li data-start="1981" data-end="2038">
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>m</mi><mi>c</mi></msub></mrow><annotation encoding="application/x-tex">m_c</annotation></semantics></math>mc & <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>C</mi><mi>c</mi></msub></mrow><annotation encoding="application/x-tex">C_c</annotation></semantics></math>Cc = Mass & specific heat of container
</li>
<li data-start="2042" data-end="2077">
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi mathvariant="normal">Δ</mi><mi>T</mi></mrow><annotation encoding="application/x-tex">\Delta T</annotation></semantics></math>ΔT = Temperature rise
</li>
<li data-start="2081" data-end="2114">
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>m</mi><mi>f</mi></msub></mrow><annotation encoding="application/x-tex">m_f</annotation></semantics></math>mf = Mass of fuel burned
</li>
</ul>
</li>
</ol><hr data-start="2116" data-end="2119"><h3 data-start="2121" data-end="2150">Key Points for Exams:</h3><ul data-start="2151" data-end="2326">
<li data-start="2151" data-end="2196">
Solid/Liquid fuels → Bomb Calorimeter
</li>
<li data-start="2197" data-end="2245">
Gaseous fuels → Junker’s Gas Calorimeter
</li>
<li data-start="2246" data-end="2326">
The bomb calorimeter works on the principle of constant volume combustion.
</li>
</ul><hr data-start="2328" data-end="2331">

<h5>Tip: If you see “Bomb Calorimeter” in the exam, always remember: solid/liquid fuels and constant volume combustion.</h5>

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