I will rate lifesaver to anyone who can help me answer a few short practice questions! Thank you!
1. A sample of methane of mass 4.50 g occupies 12.7 L ( 1 L = 1 dm3 ) at 310 K. Calculate the work done when the gas expands (a) isobarically (at constant pressure) against a constant external pressure of 30.0 kPa until its volume has increased by 3.3L, and (b) isothermally by 3.3L. Hint: consider methane as an ideal gas.
2. The kinetic or thermal energy of a molecule in liquid phase can be estimated using the equipartition theorem. (a) Estimate the average velocity of translation of a water molecule along one axis at 37ï°C. (b) Estimate the time it would take for a perfume molecule to travel a distance of 10 m in vacuum at 300 K (Hint: E = ½ mv2 ).
3. What is the ratio of populations that correspond to two vibration energy states in water with energy of 2 kBT and 1 kBT respectively at 300K? Assume that each energy state has only one microstate (or in other words, no degenerate microstates, g = 1).
I will rate lifesaver to anyone who can help me answer a few short practice questions! Thank you!
1. A sample of methane of mass 4.50 g occupies 12.7 L ( 1 L = 1 dm3 ) at 310 K. Calculate the work done when the gas expands (a) isobarically (at constant pressure) against a constant external pressure of 30.0 kPa until its volume has increased by 3.3L, and (b) isothermally by 3.3L. Hint: consider methane as an ideal gas.
2. The kinetic or thermal energy of a molecule in liquid phase can be estimated using the equipartition theorem. (a) Estimate the average velocity of translation of a water molecule along one axis at 37ï°C. (b) Estimate the time it would take for a perfume molecule to travel a distance of 10 m in vacuum at 300 K (Hint: E = ½ mv2 ).
3. What is the ratio of populations that correspond to two vibration energy states in water with energy of 2 kBT and 1 kBT respectively at 300K? Assume that each energy state has only one microstate (or in other words, no degenerate microstates, g = 1).
Related textbook solutions
Basic Chemistry
Principles of Chemistry Molecular Approach
Principles of Chemistry Molecular Approach
Chemistry: Structure and Properties
Chemistry: A Molecular Approach
Chemistry: A Molecular Approach
Principles of Chemistry: A Molecular Approach
