Deduce an expression for work done by a gas in an isothermal expansion.

Asked by Last Modified  

Follow 1
Answer

Please enter your answer

Software professional in a leading MNC and interested in teaching

Let me first start with the meaning of an Isothermal process. It is a change in system in which the temperature remains constant. The term Iso means equaland thermal means heat. This occurs when a normal system comes in contact with a heat engine. This process is a very slow process where a normal system...
read more
Let me first start with the meaning of an Isothermal process. It is a change in system in which the temperature remains constant. The term Iso means equaland thermal means heat. This occurs when a normal system comes in contact with a heat engine. This process is a very slow process where a normal system continuosly adjusts to the temperature of the heat engine until there is no transfer of heat between both the systems or until thermal equilibrium is maintained. If a gas is kept at an isothermal condition, the product of pv is a constant. This value of this constant is nRT. pv = nRT where, p = pressure v = volume n = number ofmoles of gas present R = ideal gas constant T = temperature (constant in this case) So, pv = constant (depends upon the number of moles of gas present in the system) Hence p is indirectly proportional to v. Work is defined as the work done on the system by its surroundings. If the system is compressed then the work done is positive and if the system expands then the work done will be negative. In our case the system will expand by absorbing the temperature from the heat engine. System will expand means the volume of the system will expand. The formula for work done is: =- pdV = -(nRT)dV/V = -nRTln(V) = -nRT ln () = -nRT ln () = nRT ln () read less
Comments

Related Questions

How do I clear concepts of physics?
If you want to fill 1000 L of water then you need a tank not a glass. Similarly to understand concepts of physics you need to enhance your perception and visualization. I would suggest before you start...
Profile Photo
Muskaan
0 0
View Comments5
A shell of mass 0.020kg is fired by a gun of mass 100kg. If the muzzle speed of the shell is 80m/s, what is the recoil speed of the gun?
Mass of the gun, M = 100 kg Mass of the shell, m = 0.020 kg Muzzle speed of the shell, v = 80 m/s Recoil speed of the gun = V Both the gun and the shell are at rest initially. Initial momentum of the system...
Profile Photo
Rasneet
0 0
View Comments5
What is the unit of coefficient of friction?
The coefficient of friction is dimensionless (means it has no units) since it is a ratio of two similar quantities. Its purely a number
Profile Photo
Mallikarjun
0 0
View Comments5
What is the difference between position vector and displacement vector?
Change in position vector is displacement.
Profile Photo
Rahul Srivastava
Sun: Largest source of energy is made up of?
Organic molecules.hydrocarbons.fossil fuels.hydrogen and carbon mainly.
Profile Photo
Deepika T.

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons


Learning Physics for IIT JEE mains, advanced & NEET
Many of the students preparing for JEE/NEET often find physics as the most challenging subject compared to others. This is because Physics needs a slightly different way of learning, and students do not...
V

Venkata P.

0 0
View Comments0



Properties of Solids Overview
https://vz-3ad30922-ba4.b-cdn.net/30f5d445-ce5e-49ca-b4ae-d5da6447a337/play_480p.mp4
Profile Photo

Recommended Articles

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you