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Calculate the internal energy change in ...

Calculate the internal energy change in each of the following cases :
(i) A system absorbs 5 kJ of heat and does 1 kJ of work.
(ii) 5 kJ of work is done on the system and 1 kJ of heat is given out by the system.

Text Solution

Verified by Experts

(i) Here, `q= + 15 kJ , w= - 5 kJ`
`:.` According to first law of thermodynamics.,
`Delta U = q+w= 15 + (-5) = 10 kJ`
Thus, internal energy of the system increasesby `10 kJ`
(ii) Here,` x= + 5 kJ, q = - 15 kJ`
`:. `According to first law of thermodynamics,
`Delta U = q+ w= -15 + (+5) = - 10kJ`
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Knowledge Check

  • Change in internal energy, when 4 kJ of work is done on the system and 1 kJ of heat is given out by the system, is

    A
    `+1 kJ`
    B
    `-5 kJ`
    C
    `+5 kJ`
    D
    `+3 kJ`

  • Change in internal energy when 4 kJ of work is done on the system and 1 kJ of heat is given out of the system is

    A
    `+ 1 kJ`
    B
    `- 5 kJ`
    C
    `+ 5 kJ`
    D
    `+ 3 kJ`

  • A system absorbs 10 kJ of heat and does 4 kJ of work the internal energy

    A
    decreases
    B
    increases
    C
    same
    D
    none