Home
Class 12
PHYSICS
Choose the option showing the correct ma...

Choose the option showing the correct match for work done by n moles of a diatomic ideal gas for change in temperature in different processes.

A

`[P-II] [Q-III] [R-II] [S-III]`

B

`[P-II][Q-IV] [R-III][S-II]`

C

`[P-III] [Q-IV] [R-II] [S-I]`

D

`[P-II] [Q-IV] [R-III] [S-II]`

Text Solution

Verified by Experts

The correct Answer is:
B
For isobaric process: `W= P Delta V= nR Delta T`
For adiabotic process: `W= - Delta U = -nC_(V) Delta T= - (5)/(2) n R Delta T`
For a polytropic process `PV^(x)=` constant
`C= C_(V) - (R )/(x-1)`
Multiplying by `n Delta T`
`nC Delta T = nC_(V) Delta T- (nR Delta T)/(x-1)`
As `nC Delta T = Delta Q and n C_(V) Delta T= Delta U`
`therefore W= (-nR Delta T)/(x-1) ("As " Delta Q= DU + W)`
For `PV^(2)=` constant, `x=2`
`therefore W= (-nR Delta T)/(2-1) = -nR Delta T`
For `(P)/(V)=` constant, `x= -1`
`therefore W= (-nR Delta T)/(-1-1) =(nR Delta T)/(2)`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 3

    VMC MODULES ENGLISH|Exercise PART I : PHYSICS (SECTION-2)|10 Videos

  • MOCK TEST 2

    VMC MODULES ENGLISH|Exercise PART I : PHYSICS (SECTION - 2)|10 Videos

  • MOCK TEST 4

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

The ratio of work done by an ideal diatomic gas to the heat supplied by the gas in an isobatic process is

The work done by 1 mole of ideal gas during an adiabatic process is (are ) given by :

Define an adiabatic process and state essential conditions for such a process to take place. Write its process equations in terms of , and . Show analytically that work done by one mole of an ideal gas during adiabatic expansion from temperature T_1 to T_2 is given by = (R(T_1 - t_2))/(1-lamda ) .

For a diatomic gas, which options is/are correct?

One mole of an ideal gas undergoes a process whose molar heat capacity is 4R and in which work done by gas for small change in temperature is given by the relation dW=2RdT , then find the degree of freedom of gas

State true or false. Work done by an ideal gas in adiabatic expansion is less than that in isothermal process (for same temperature range)

For one mole of a diatomic gas, the ratio of heat transfer at constant pressure to work done by the gas is

An ideal monatomic gas undergoes a process where its pressure is inversely proportional to its temperature. (a) Calculate the molar specific heat of the process. (b) Find the work done by two moles of gas if the temperature change from T_1 to T_2 .

An ideal gas undergoes an isobaric process. If its heat capacity is C , at constant volume and number of mole n, then the ratio of work done by gas to heat given to gas when temperature of gas changes by DeltaT is :

n moles of diatomic gas in a cylinder is at a temperature T . Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monatomic gas . The change in the total kinetic energy of the gas is