The amount of heat ( q ) gained or lost by a substance (with mass m ) as its tem

Question

The amount of heat (q) gained or lost by a substance (with mass m) as its temperature changes (T) depends on its specific heat capacity (Cp) according to the following equation.

q = Cp m T

The quality of industrial diamonds is determined in part by measuring the specific heat capacity, which is 0.5091 J/g·K for pure diamond. If the absorption of 28.22 J of heat by a 2.11 gdiamond sample of unknown purity causes its temperature to rise from 25.09°C to 74.08°C, is the diamond sample pure? Explain your reasoning.

Explanation / Answer

Given q=28.22 J

Given mass of diamond =2.11g

So temperature rise=(74.08-25.09)=48.99°c

So 28.22=2.11*cp*48.99=0.273 J/g.k=cp

So cp is less than 0.5091 so it's impure

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