The source applies the idea of macrostates and microstates to a real gas sample. How many atoms does it say are present in just 1.0 cm^3 of an ideal gas at 1.0 atm and 0°C?
A2.7 x 10^13 atoms
B1.27 x 10^19 atoms
C1.0 x 10^23 atoms
D2.7 x 10^19 atoms
Answer & Solution
Correct answer: D. 2.7 x 10^19 atoms
1. The source points out that even a very small sample of gas contains an enormous number of atoms, each contributing to the gas's microstates.
2. It gives a specific figure for this: 1.0 cm^3 of an ideal gas at 1.0 atm and 0°C has 2.7 x 10^19 atoms.
3. Because each of these atoms can occupy many possible positions and velocities, this huge atom count is why even one macrostate of the gas corresponds to an immense number of microstates.
4. Option C's figure of 1.0 x 10^23 is close to a mole's worth of atoms but is not the number given for this particular 1.0 cm^3 sample.
5. Options A and B do not match the leading digits and exponent given for this sample, so neither reflects the stated figure.
_Source: OpenStax College Physics (CC BY 4.0), Ch 15 "Thermodynamics", section 15.7 Statistical Interpretation of Entropy and the Second Law of Thermodynamics: The Underlying Explanation_
Related questions
A perfect crystal at 0 K has W equal to 1, which makes its entropy:Boltzmann's model related the entropy of a system to which quantity?An endothermic process that involves an increase in system entropy is spontaneous when temA process whose enthalpy and entropy changes share the same arithmetic sign will show:At minus 10.00 degrees Celsius the entropy change of the universe for melting is negative,Melting is described as spontaneous at 10.00 degrees Celsius because at that temperature:Free energy is described as the energy available to do useful work, being the difference bBesides indicating spontaneity, the free energy change gives information about the amount