how do we determine Cmolar ,metal from Cs,metal

To determine the molar heat capacity (Cmolar) of a metal from its specific heat capacity (Cs), you need to know the molar mass of the metal. The molar heat capacity is the amount of heat energy required to raise the temperature of one mole of a substance by one degree Celsius.

Here's how you can determine Cmolar from Cs:

1. Find the molar mass (M) of the metal: You can find the molar mass of the metal using the periodic table. It is the average mass of one mole of atoms of the metal.

2. Convert Cs to Cmolar: The specific heat capacity (Cs) is usually given in units of joules per gram per degree Celsius (J/g°C). To convert Cs to Cmolar, you need to multiply Cs by the molar mass (M) of the metal.

Cmolar = Cs * M

For example, let's say the specific heat capacity of a metal is given as 0.25 J/g°C, and the molar mass of the metal is 52 g/mol. To find the molar heat capacity (Cmolar) of the metal:

Cmolar = 0.25 J/g°C * 52 g/mol = 13 J/mol°C

So, the molar heat capacity of the metal is 13 J/mol°C.

Remember to check the units of Cs and ensure that they are consistent with the units of molar mass (M) to obtain the correct result.