the specific heat of a gas is found to be 0.075 calories at constant volume & its formula weight is 40. the atimicity or the valency of the gas is ............
To determine the atomicity or valency of the gas, we need some additional information. The specific heat of a gas at constant volume (Cv) is related to the degree of freedom of its molecules or atoms. The formula weight alone does not provide enough information to determine the atomicity or valency.
However, if we assume the gas behaves as a monoatomic ideal gas, the atomicity would then be 1. Monoatomic gases have a valency of 0.
If you have any additional information or context about the gas, please provide it so that I can provide a more accurate answer.
To determine the atomicity or valency of the gas, we need to use the given information about the specific heat and formula weight of the gas.
1. Recall that the specific heat of a substance is the amount of heat energy required to raise the temperature of a given amount of the substance by one degree Celsius or one Kelvin.
2. The specific heat at constant volume (Cv) is defined as the heat required to raise the temperature of a substance when the volume is held constant.
3. In the case of an ideal gas, the specific heat at constant volume is given by the equation Cv = (R/m), where R is the molar gas constant and m is the molar mass of the gas.
4. For the specific heat to be given in calories, we can use the conversion factor 1 calorie = 4.184 joules.
5. Given that the specific heat (Cv) of the gas is 0.075 calories, we can convert it to joules using the conversion factor: 0.075 calories * 4.184 joules/calorie = 0.3135 joules.
6. Now, we can calculate the molar mass (m) of the gas using the equation: m = (R/Cv).
7. The molar mass of the gas can be calculated as follows: m = (8.314 J/(mol·K)) / 0.3135 J = 26.50 g/mol.
8. Since the formula weight of the gas is given as 40, which represents the molar mass of the gas, we know that the gas has two atoms or a valency of 2.
Therefore, the atomicity or valency of the gas is 2.
I meant calories (gram-calories), not Calories (kg-calories). Ignore the capital C
Is that specific heat per mole or per mass? I do not know what you mean by "atimicity", nor why a gas should have a valence.
Cv at normal temperatures is 3R/2 (about 3 Calories per mole) for monatomic and 5R/2 for diatomic gases. For polyatomics, the relationship is more complicated because some vibrational degrees of freedom start to be excited at normal temperatures. If your gas were were monatomic, the specific heat .075 Cal/g, and the molecular weight were 40 g/mole, Cv would be 3.0 cal/mole, which is consistent with the 3R/2 Cal/mole value for monatomics. If 0.075 Cal/g is the specific heat of your gas, the gas is probably argon.