Practicing Success
The specific heat at constant volume for the monoatomic argon is 0.075 kcal/kg-K, whereas its gram molecular specific heat is Cv = 29.8 cal/mol-K. The mass of the argon atom is : (Avogadro's number = 6.02*10^{23}\) molecules/mol : |
6.60 x 10-23 g 3.30 x 10-23 g 2.20 x 10-23 g 13.20 x 10-23 g |
6.60 x 10-23 g |
Molar specific heat = molecular weight x gram specific heat 2.98 cal/mol-K = M x 0.075 kcal/kg-K = M x \(\frac{0.075*10^3}{10^3}\) cal/g-K \(\Rightarrow \text{ Molecular weight of argon : M } = \frac{2.98}{0.075}\) = 39.7 g i.e. mass of 6.023 x 1023 atom = 39.7 g Therefore, mass of single atom = \(\frac{39.7}{6.023*10^{23}}\) = 6.60 x 10-23 g |