NEET-XII-Physics

26: Laws of Thermodynamics

with Solutions - page 3
Qstn# iii-4 Prvs-QstnNext-Qstn
  • #4
    Refer to figure. Let â–µU1 and â–µU2 be the change in internal energy in processes A and B respectively, â–µQ be the net heat given to the system in process A + B and â–µW be the net work done by the system in the process A + B.
    Figure
    (a) â–µU1 + â–µU2 = 0.
    (b) â–µU1 - â–µU2 = 0.
    (c) â–µQ - â–µW = 0.
    (d) â–µQ + â–µW = 0
    digAnsr:   a,c
    Ans :
    (a) ​∆U1 + ∆U2 = 0
    (c) ∆
    Q - ∆W = 0
    The process that takes place through A and returns back to the same state through B is cyclic. Being a state function, net change in internal energy,
    ∆U will be zero, i.e.
    ∆U1 (Change in internal energy in process A) = ∆​U2 (Change in internal energy in process B)
    `` \Rightarrow \Delta U=\Delta {U}_{1}+\Delta {U}_{2}=0``

    Here, ∆U is the total change in internal energy in the cyclic process.
    Using the first law of thermodynamics, we get
    `` \Delta Q-\Delta W=\Delta U``

    Here,
    ∆Q is the net heat given to the system in process A + B and ∆W is the net work done by the system in the process A + B.
    Thus,
    ∆Q - ∆W = 0

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