Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 19: Q. 4 (page 543)

A 2000 cm3 container holds 0.10 mol of helium gas at 300°C. How much work must be done to compress the gas to 1000 cm3 at (a) constant pressure and (b) constant temperature?

Short Answer

Expert verified

a. The value of work done at constant pressure is 240J

b. The value of work done at constant volume is 330J

Step by step solution

01

Definition of work done

The work done has represented as energy that is transferred between system and environment.

02

Step  2: Finding the work done energy. 

The value of the changeable volume is

V2-V1=1000-2000×cm3=-1000×cm3

the equation of real gas is localid="1649077116383" p=nRTV1

So the work done is

W=-nRTV1∆V

Now the temperature in Kelvin is ((300+273)= 573K

a. The value of work done at constant pressure

W=-(0.10)(8.314J/mol.K×500K200×10-6m3(-1000×10-6m3)=240J

b. The value of work done at constant pressure

W=-nRTlnV2V1W=-(0.10)(8.314J/mol.K×500K200×10-6m3ln(1000)2000×cm3=330J

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

14g of nitrogen gas at STP are adiabatically compressed to a pressure of 20atm. What are (a) the final temperature, (b) the work done on the gas, (c) the heat transfer to the gas, and (d) the compression ratio Vmax/Vmin? (e) Show the process on a pV diagram, using proper scales on both axes.

A cylinder with a movable piston contains nmoles of gas at a temperature higher than that of the surrounding environment. An external force on the piston keeps the pressure constant while the gas cools as ΔT=(ΔT)0e-t/τ, where ΔTis the temperature difference between the gas and the environment, (ΔT)0is the initial temperature difference, andτ is the time constant.

a. Find an expression for the rate at which the environment does work on the gas. Recall that the rate of doing work is power.

b. What power is initially supplied by the environment if 0.15molof gas are initially 12°Cwarmer than the surroundings and cool with a time constant of 60s?

51. A 560kg concrete table needs to be supported at the four corners by compressed-air cylinders. Each cylinder is 25cm in diameter and has a 1.20m initial length when the pressure inside is 1.0atm. A hoist lowers the table very slowly, compressing the cylinders while allowing them to stay in thermal equilibrium with their surroundings. How much work has been done on the gas of the four cylinders when the table reaches its equilibrium position?

30 g of copper pellets are removed from a 300C oven and immediately

dropped into 100 mL of water at 20C in an insulated

cup. What will the new water temperature be?

A 150 L 1≈40 gal2 electric hot-water tank has a 5.0 kW heater.

How many minutes will it take to raise the water temperature from 65°F to 140°F?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Kinematics Physics

Read Explanation

Force

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Fluids

Read Explanation

Magnetism

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free