(a) Interpretation: To calculate the total work for a piston reversibly and adiabatically contracts 3.88 moles of ideal gas to one-tenth of its original volume, then expands back to the original conditions. Concept introduction: The work is performed on an object when an object moves a certain distance s due to the force F. Mathematically, it is indicated by the dot product of the force vector F and the distance vector s. The mathematical equation is given below, Work = F .s = | F | | s | cos θ Where θ is the angle between the vectors F and s. The unit of work is joules. Work is a way to transfer the energy. The energy is defined as the ability to do work and so energy and work are described using the same unit in joules. Internal energy is the total energy of the system. For an isolated system the total energy of the system remains constant. Moreover the total energy of a system changes the energy change goes into either work, heat.

BuyFind

Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437
BuyFind

Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437

Solutions

Chapter 2, Problem 2.30E
Interpretation Introduction

(a)

Interpretation:

To calculate the total work for a piston reversibly and adiabatically contracts 3.88 moles of ideal gas to one-tenth of its original volume, then expands back to the original conditions.

Concept introduction:

The work is performed on an object when an object moves a certain distance s due to the force F. Mathematically, it is indicated by the dot product of the force vector F and the distance vector s. The mathematical equation is given below,

Work = F.s = |F||s|cosθ

Where θ is the angle between the vectors F and s. The unit of work is joules. Work is a way to transfer the energy. The energy is defined as the ability to do work and so energy and work are described using the same unit in joules.

Internal energy is the total energy of the system. For an isolated system the total energy of the system remains constant. Moreover the total energy of a system changes the energy change goes into either work, heat.

Interpretation Introduction

(b)

Interpretation:

To calculate the total ∆U for the overall process for the piston reversibly and adiabatically contracts 3.88 moles of ideal gas to one-tenth of its original volume, then expands back to the original conditions.

Concept introduction:

The work is performed on an object when an object moves a certain distance s due to the force F. Mathematically, it is indicated by the dot product of the force vector F and the distance vector s. The mathematical equation is given below,

Work = F.s = |F||s|cosθ

Where θ is the angle between the vectors F and s. The unit of work is joules. Work is a way to transfer the energy. The energy is defined as the ability to do work and so energy and work are described using the same unit in joules.

Internal energy is the total energy of the system. For an isolated system the total energy of the system remains constant. Moreover the total energy of a system changes the energy change goes into either work, heat.

Want to see the full answer?

Check out a sample textbook solution.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.