Home
Class 12
CHEMISTRY
One mole of an ideal gas (C(v) = 3/2R) i...

One mole of an ideal gas `(C_(v) = 3/2R)` is heated at constant pressure of 1 atmosphere from `25^(@)` C to `100^(@)` C. Calculate `DeltaE` and `DeltaH`.

Text Solution

Verified by Experts

As `(C_(P) - C_(v)) = R rArr C_(p)=C_(v) + R`
`rArr C_(p) = 3/2 R + R= 5/2 R`
Heat given at constant pressure.
`(DeltaH) = nC_(p)DeltaT = 1 x 5/2 R xx (373 - 298)`
`rArr (DeltaH) = 1 xx 5/2 xx 1.987 xx 75 = 372.56` cal
Work done in the process = `-PDeltaV`
`=-P(V_(2)-V_(1))`
`=-P((nRT_(2))/P -(nRT_(1))/P)` (As PV = nRT)
`=-nR(T_(2)-T_(1))`
`=-1 xx 1.987 xx (373 - 298)`
`=-149.05` cal.
From first law of thermodynamics.
`DeltaE = q+W`
`=372.56 - 149.05`
=223.51 cal.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMODYNAMICS AND THERMOCHEMISTRY

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|28 Videos

  • THERMODYNAMICS AND THERMOCHEMISTRY

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE) (REASONING TYPE QUESTIONS)|4 Videos

  • THERMODYNAMICS AND THERMOCHEMISTRY

    FIITJEE|Exercise SINGLE INTEGER ANSWER TYPE QUESTIONS|5 Videos

  • TEST PAPERS

    FIITJEE|Exercise CHEMISTRY|747 Videos

  • TRANSITION ELEMENTS & COORDINATION COMPOUNDS

    FIITJEE|Exercise MATCHIG LIST TYPE QUESTIONS|1 Videos

Similar Questions

Explore conceptually related problems

One moles of an ideal gas which C_(V) = 3//2 R is heated at a constant pressure of 1 atm from 25^(@)C to 100^(@)C . Calculate DeltaU, DeltaH and the entropy change during the process.

One mole of an ideal monoatomic gas is heated at a constant pressure of 1 atmosphere from 0^(@) C to 100^(@0 C. Work done by the gas is

Knowledge Check

  • If one mole of an ideal gas with C_(v) = (3)/(2) R is heated at a constant pressure of 1 atm 25^(@)C to 100^(@)C . Which is correct

    A
    `Delta U` during the process is 223.51 cal
    B
    `Delta H` during the process is 372.56 cal
    C
    entropy change during the process is `1.122 cal k^(-1) mol^(-1)`
    D
    `Delta U, Delta H` are same for the process

  • One mole of an ideal monoatomic gas is heated at a constant pressure of one atmosphere from 0^(@) to 100^(@)C. Then the change in the internal energy is

    A
    `6.56`joules
    B
    `8.32xx10^(2)`joules
    C
    `12.48xx10^(2)`joules
    D
    `20.80joules`

  • Two mole of an ideal gas is heated at constant pressure of one atmosphere from 27^(@)C to 127^(@)C . If C_(v,m)=20+10^(-2)"T JK"^(-1).mol^(-1) , then q and DeltaU for the process are respectively:

    A
    `6362.8J,4700J`
    B
    `3037.2J,4700J`
    C
    `7062.8J,5400J`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    One mole of a monoatomic ideal gas is heated at constant pressure from 25^(@)C to 300^(@)C . Calculate the DeltaH,DeltaU , work done and entropy change during the process. Given C_(v)=3/2R .

    One mole of an ideal gas is heated at constant pressure from 0^(@)C to 100^(@)C (A) Calculate work done. (B) If the gas were expanded isothermally and reversibly at 0^(@)C from 1 atm to some other pressure P_(1) , water must be the final pressure if the maximum work is equal to the work involned in (a)?

    One mole of an ideal gas is heated at constant pressure from 0^(@)C to 100^(@)C . a. Calculate the work done. b. If the gas were expanded isothermally and reversibly at 0^(@)C from 1 atm to some othe pressure P , what must be the final pressure if the maixmum work is equal to the work in (a) ?

    Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20^(@)C " to " 90^(@)C . Work done by gas is close to: (Gas constant R = 8.31 J/mol-K)

    10 mole of an ideal gas is heated at constant pressure of one atmosphere from 27^(@)C to 127^(@)C . If C_(v,m)=21.686+10^(-3)T(JK^(-1).mol^(-1)) , then DeltaH for the process is :

    Home
    Profile