Final answer:
To find the molar mass using specific heat, you would need to calculate the molar heat capacity from the known values of heat transfer, mass, and temperature change, and then divide it by the specific heat capacity.
Step-by-step explanation:
To calculate the molar mass of a substance using specific heat, you typically need additional information beyond just the specific heat value itself. However, if you have the specific heat capacity of the substance and you have either a known heat transfer (q) or a measurable temperature change (ΔT) along with the mass of the substance (m), then you can use these values to indirectly find the molar mass. For a metal, if you know the heat transfer, mass, and temperature change, you can rearrange the specific heat capacity formula (q = m•c•ΔT) to solve for the specific heat capacity (c). Then, with the specific heat capacity known, you can calculate the molar heat capacity by finding the product of the specific heat capacity and the molar mass. Conversely, if you know the molar heat capacity and the specific heat capacity, you can find the molar mass by dividing the molar heat capacity by the specific heat capacity.
For example, the specific heat calculations involve the formula:
q = mc•ΔT
Where q is the heat absorbed or released, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature. If the specific heat and molar heat capacities of a substance are known, the molar mass (M) can be found using the relationship:
M = molar heat capacity / specific heat