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A monatomic ideal gas is heated at const...

A monatomic ideal gas is heated at constant pressure. How much fraction of heat is used to increase internal energy?

A

`2/5`

B

`3/5`

C

`3/7`

D

`3/7`

Text Solution

Verified by Experts

IF `Delta`T is the increase in temperature of a monatomic
Ideal gas increases in internal energy , `Delta E=3/2 R Delta T`
for 1 mol gas
Again molar specific that to increase temperature by `Delta T` at constant pressure =`C_pDeltaT=5/2 R Delta T`
Hence, required fraction
`=(i ncrease i n i nternal en ergy)/(given tha t)=(3/2R DeltaT)/(5/2R DeltaT)=3/5`
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Knowledge Check

  • One mole of an ideal monatomic gas is heated at a constant pressure from 0^(@)C to 100^(@)C . Then the change in the internal energy of the gas is (given R = 8.32 J cdot mol cdot k^(-1))

    A
    `0.83 xx 10^(3) J`
    B
    `4.6 xx 10^(3) J`
    C
    `2.08 xx 10^(3) J`
    D
    `1.25 xx 10^(3) J`

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    A
    42.12 J
    B
    28.57 J
    C
    36.23 J
    D
    56.28 J

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