Computing Mass of gas molecule from specific heat

[Saladsamurai]

The mass of a gas molecule can be computed from its specific heat at constant volume $$c_v$$ (note this is NOT $$C_v$$)

Take $$c_v=0.075\frac{cal}{g*C}$$ for argon and calculate (a) the mass of an argon atom and (b) the molar mass of argon.

I just finshed the chapter on Kinetic Theory of gases, but for some reason I am completely jammed on this one.

Can I get a hint to get me going?

Casey

 

[Dick]

You are given a heat capacity per gram. The usual ideal gas statement of heat capacity is per mole. Compare the two to get grams per mole.

 

[ogb p]

, to calculate the mass of a gas molecule, you can use the equation m = c_v * T * R / M, where m is the mass of the molecule, c_v is the specific heat at constant volume, T is the temperature, R is the gas constant, and M is the molar mass. For argon, you can substitute the given value of c_v and solve for m to find the mass of an argon molecule. To find the molar mass of argon, you can use the equation M = m / N_A, where M is the molar mass, m is the mass of a single molecule, and N_A is Avogadro's number. This should help you get started.