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ICSE Class 10 Physics 2014 Paper

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Question : 28 of 66
Marks: +1, -0
50 g50\ \text{g} of metal piece at 27∘ C27^{\circ}\ \text{C} requires 2400 J2400\ \text{J} of heat energy so as to attain a temperature of 327∘ C327^{\circ}\ \text{C}. Calculate the specific heat capacity of the metal.
Solution:  
Given m=50 g;Δt=327∘ C−27∘ C=300∘ C  ,   m=50\ \text{g} ; \Delta t=327^{\circ}\ \text{C}-27^{\circ}\ \text{C}=300^{\circ}\ \text{C}\;\text{, }\; Q=2400 J.Q=2400\ \text{J}.
   Now,     Q=mcΔt\;\text{ Now, }\;\; Q=m c \Delta t
  2400=50×c×300\;2400=50 \times c \times 300
  c=  240050×300=0.16 J/g ∘C.\;c=\;\frac{2400}{50 \times 300}=0.16\ \text{J} / \text{g}\,{}^{\circ}\text{C}.
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