Answer
Verified
439.5k+ views
Hint: An isothermal process is one in which the pressure and volume of the system change but temperature remains constant . When compression of an ideal gas takes place at constant temperature it is known as isothermal compression .
Complete step by step answer:
Suppose we have an ideal gas enclosed in a cylinder provided with a piston and having conducting walls . When we compress the gas slowly , the heat which is produced due to the work done on the gas is transferred to the surroundings so that the temperature of the gas remains constant , that is , the process takes place isothermally .
The temperature change and hence the change in internal energy (since it is a function of temperature ) in this process is zero .
The work done in isothermal process is given by
$w = - 2.303nRT\log \dfrac{{{V_2}}}{{{V_1}}}$
The negative sign shows work of expansion .
But since to compress a gas work is done on the system , so that pressure is increased and volume is decreased the work done is positive .
So, the correct answer is Option A .
Note:
here are certain conditions for isothermal compression to take place which should be kept in mind :
The walls of the container should be perfectly conducting so that free exchange of heat between the system and surroundings takes place .
When we compress a gas it should be done very slowly , so as to provide sufficient time for the exchange of heat .
Complete step by step answer:
Suppose we have an ideal gas enclosed in a cylinder provided with a piston and having conducting walls . When we compress the gas slowly , the heat which is produced due to the work done on the gas is transferred to the surroundings so that the temperature of the gas remains constant , that is , the process takes place isothermally .
The temperature change and hence the change in internal energy (since it is a function of temperature ) in this process is zero .
The work done in isothermal process is given by
$w = - 2.303nRT\log \dfrac{{{V_2}}}{{{V_1}}}$
The negative sign shows work of expansion .
But since to compress a gas work is done on the system , so that pressure is increased and volume is decreased the work done is positive .
So, the correct answer is Option A .
Note:
here are certain conditions for isothermal compression to take place which should be kept in mind :
The walls of the container should be perfectly conducting so that free exchange of heat between the system and surroundings takes place .
When we compress a gas it should be done very slowly , so as to provide sufficient time for the exchange of heat .
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
How do you graph the function fx 4x class 9 maths CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Write a letter to the principal requesting him to grant class 10 english CBSE