JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
- JEE Mains 2017
- Hard
- MCQ
In an experiment a sphere of aluminium of mass \(0.20\, kg\) is heated upto \(150\,^oC\). Immediately, it is put into water of volume \(150\, cc\) at \(27\,^oC\) kept in a calorimeter of water equivalent to \(0.025\, kg\). Final temperature of the system is \(40\,^oC\). The specific heat of aluminium is ............ \(J/kg\,-\,^oC\) (take \(4.2\, Joule= 1\, calorie\))
Pick an option to check your answer.
Answer & Solution
Correct Answer
(D) \(434\)
Step-by-step Solution
Detailed explanation
According to principle of calorimetry,
\({Q_{given}} = {Q_{used}}\)
\(0.2 \times S \times \left( {150 - 40} \right) = 150 \times 1 \times \left( {40 - 27} \right) + 25\)
\( \times \left( {40 - 27} \right)\)
\(0.2 \times S \times 110 = 150 \times 13 + 25 \times 13\)
Specificheat of aluminium
\(S = \frac{{13 \times 25 \times 7}}{{0.2 \times 110}} = 434J/k{g^ \circ }C\)
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