Home
Class 12
CHEMISTRY
1mol of an ideal gas undergoes reversibl...

`1mol` of an ideal gas undergoes reversible isothermal expansion form an initial volume `V_(1)` to a final volume `10V_(1)` and does `10kJ` of work. The initial pressure was `1xx 10^(7) Pa`.
a. Calculate `V_(2)`.
b. If there were `2mol` of gas, what must its temperature have been?

A

0.003, 275 K

B

0.00043, 261.13 K

C

0.0005, 300 K

D

0.00049, 353 K

Text Solution

AI Generated Solution

To solve the given problem step by step, we will break it down into two parts as per the question. ### Part (a): Calculate \( V_2 \) 1. **Understanding the Process**: We have 1 mole of an ideal gas undergoing a reversible isothermal expansion from an initial volume \( V_1 \) to a final volume \( V_2 = 10V_1 \). The initial pressure \( P_1 \) is given as \( 1 \times 10^7 \) Pa. 2. **Using the Ideal Gas Law**: The ideal gas law is given by: \[ ...
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise LEVEL-1|75 Videos

  • THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos

  • THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise LEVEL-0 (SHORT ANSWER TYPE-II (3 MAKRS))|6 Videos

  • THERMOCHEMISTRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|31 Videos

  • THERMODYNAMICS & THERMOCHEMISTRY

    VMC MODULES ENGLISH|Exercise Impeccable|48 Videos

Similar Questions

Explore conceptually related problems

1 mole of an ideal gas undergoes an isothermal reversible expansion form 10 atm to 1 atm at 300 K. What will be the work done ?

Calculate entropy change when 10mol of an ideal gas expands reversible and isothermally from an initial volume of 10L to 100L at 300K .

The work done, W, during an isothermal process in which the gas expands from an intial volume V_(1) , to a final volume V_(2) is given by (R : gas constant, T : temperature )

The volume of 1 mol of a gas at standard temperature and pressure is .

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(3) . The work of expansion in adiabatic process (w_(adi)) is related to work of expansion in isothermal process (w_(iso)) is

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(3) . Which relation is correct (gamma = (C_(P))/(C_(V))) ?

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(2) . If P_(3) and P_(2) are equal, then

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(2) . Which graphic representation is correct a.

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(3) . Which of the following is correct?

Two moles of a gas expand reversibly and isothermally at temperature of 300K. Initial volume of the gas is 1 L while the final pressure is 4.926 atm . The work done by gas is

Knowledge Check

  • The work done, W, during an isothermal process in which the gas expands from an intial volume V_(1) , to a final volume V_(2) is given by (R : gas constant, T : temperature )

    A
    `R (V_(2)-V_(1)) log_(e _ ((T_(1))/(T_(2))`
    B
    `R (T_(2)-T_(1)) log_(e ) ((V_(1))/(V_(2)))`
    C
    `RT log_(e ) [(V_(2))/(V_(1))]`
    D
    `2RT log_(e ) [(V_(1))/(V_(2))]`