Final answer:
The specific heat capacity of the unknown substance is calculated using the formula Q = mcΔT, with provided values for Q, m, and ΔT, resulting in a value of 453.125 J/kg·K.
Step-by-step explanation:
The question pertains to calculating the specific heat capacity of an unknown substance using the provided data. To find the specific heat capacity (c), we can use the formula Q = mcΔT, where Q is the heat absorbed, m is the mass of the substance, and ΔT is the change in temperature.
From the given data, the mass m is 0.016 kg, the heat absorbed Q is 1086.75 joules, and the temperature change ΔT is (175 K - 25 K) = 150 K.
Using the formula, the specific heat capacity is calculated as follows: c = Q / (mΔT) = 1086.75 J / (0.016 kg × 150 K) = 453.125 J/kg·K.