The specific heat of metal and its equivalent weight

The specific heat of a substance is defined as the amount of heat energy required to raise the temperature of one gram of that substance by one degree Celsius. It is denoted by the symbol "C" and is measured in calories per gram per degree Celsius (Cal/g°C).

The equivalent weight of a substance is the atomic weight divided by the valency or the number of replaceable hydrogen or oxygen atoms. It is denoted by the symbol "E" and is measured in grams.

In this case, we are given that the specific heat of the metal is 0.25 Cal/g°C and its equivalent weight is 12 grams.

Calculating the atomic weight of the metal

To calculate the atomic weight of the metal, we can use the formula:

Atomic weight = Equivalent weight × Valency

However, we are not given the valency of the metal. So, we need to find it using the given information.

Finding the valency of the metal

The valency of an element is the combining power of that element. It is determined by the number of electrons an atom can gain, lose, or share to form a chemical bond. In this case, we can determine the valency of the metal by considering its equivalent weight.

The equivalent weight of an element is equal to the atomic weight divided by its valency. Since we are given that the equivalent weight is 12 grams, we can set up the equation:

12 grams = Atomic weight / Valency

To solve for the valency, we need to know the atomic weight of the metal. Let's assume the atomic weight is "A" and substitute it into the equation:

12 grams = A / Valency

Solving for the atomic weight

Now, we can rearrange the equation to solve for the atomic weight:

A = 12 grams × Valency

Since we don't know the valency, we cannot determine the exact atomic weight of the metal with the given information. We would need additional information about the valency of the metal or its chemical formula to calculate the atomic weight accurately.

In conclusion, without knowing the valency of the metal, we cannot determine its atomic weight based solely on the given specific heat and equivalent weight. Additional information is required to calculate the atomic weight accurately.

Atomic weight × specific heat = 6.4at wt= 6.4/ 0.25== 25.6valency= at wt /equivalent weight v= 25.6/12== 2.13atomic wt of metal = valency × equivalent weight == 2.13 × 12= 25.6ans = 25.6