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JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry

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 \(4.2\, Joule= 1\, calorie\))

  1. A \(378\)
  2. B \(315\)
  3. C \(476\)
  4. D \(434\)
Verified Solution

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…
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