The amount of heat (q) gained or lost by a substance (with mass m) as its temperature changes (δt) depends on its specific heat capacity (cp) according to the following equation. q = cp ✕ m ✕ δt 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 26.21 j of heat by a 2.03 g diamond sample of unknown purity causes its temperature to rise from 25.99°c to 73.81°c, is the diamond sample pure? explain your reasoning.

As the specific heat capacity for pure diamond is 0.5091 and it is different from the specific heat capacity found that is 0.2699, the diamond sample is not pure.

Explanation:

1. As the problem says the equation that describes the amount of heat gained or lost by a substance is:

q=Cp*m*ΔT

where q is the amount of heat, Cp is the specific heat capacity, m is the mass and ΔT is the change in the temperature.

2. Solving for specific heat capacity:

3. Replacing values:

As the specific heat capacity for pure diamond is 0.5091 and it is different from the specific heat capacity found that is 0.2699, the diamond sample is not pure.

the product of the pressure and volume is also constant