Question

question 12 of 17
the table provides molar heat capacities (c_m) of selected
metals with the units of joules per mole - kelvin. heat capacity
is also frequently given as specific heat capacity (c_s) with the
units joules per gram - degree celsius.
using the values provided in the table, convert the molar heat
capacity (c_m) of nickel to the specific heat capacity (c_s)
of nickel.

Explanation:

Step1: Find the molar mass of nickel

The molar mass of nickel ($Ni$) is $58.69\ g/mol$.

Step2: Use the formula to convert molar heat capacity to specific heat capacity

The formula is $C_s=\frac{C_m}{M}$, where $C_m$ is molar heat capacity and $M$ is molar mass.
Substitute $C_m = 26.07\ J/(mol\cdot K)$ and $M = 58.69\ g/mol$ into the formula:
$$C_s=\frac{26.07\ J/(mol\cdot K)}{58.69\ g/mol}$$

Step3: Calculate the value of $C_s$

$$C_s=\frac{26.07}{58.69}\ J/(g\cdot K)\approx0.444\ J/(g\cdot K)$$

Answer:

$0.444\ J/(g\cdot K)$