Final answer:
To determine the amount of heat required to convert the unknown solid to a liquid, we need to calculate the heat gained during the process using the formula Q = m * C * ∆T. Substituting the given values and rearranging the equation, we can find the amount of heat required.
Step-by-step explanation:
To determine the amount of heat required to convert the unknown solid to a liquid, we need to calculate the heat gained during the process. This can be done using the formula:
Q = m * C * ∆T
where Q is the heat gained, m is the mass of the substance, C is the specific heat capacity, and ∆T is the change in temperature.
In this case, we need to convert the solid at -15.4 °C to a liquid at 42.7 °C. The change in temperature (∆T) is 42.7 °C - (-15.4 °C) = 58.1 °C.
The specific heat capacity of the unknown solid can be calculated using the formula:
C = Q / (m * ∆T)
Substituting the given values:
C = (Q) / (12.0 g * 58.1 °C)
Now, we need to rearrange the equation to solve for Q:
Q = C * m * ∆T
Substituting the values:
Q = (C) * (12.0 g) * (58.1 °C)