Engine Operational
GATE CH 2020 (with Solutions).pdf

Q52

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Consider one mole of an ideal gas in a closed system. It undergoes a change in state from L to N through two different non- isothermal processes, as shown in the P-V diagram (where P is the pressure and V is the molar volume of the gas). Process I is carried out in a single step, namely LN, whereas process II is carried out in two steps, namely LM and MN. All the steps are reversible.
PP
(in kPa)
200N 100LM V (inm^3 mol¹)
0.020.03 The net heat flowing into the system for process I is Qᵢ and that for process II is Q ᵢᵢ. The value of Qᵢ−Qᵢᵢ (in J) is

Options

  1. A.
    250
  2. B.
    500
  3. C.
    1000
  4. D.
    1500

Answer

B

Solution

Wnet=1(/20.030.02)/times100/rightarrow/fracm3mol/timeskPaW_{net} = 1(/20.03-0.02) /times 100 /rightarrow /frac{m^3}{mol} /times kPa
0.01/times50=0.5KJ0.01 /times 50 = 0.5KJ
Wₙₑₜ=Qₙₑₜ=For a cycle
QiQii=/frac500JmolQ_i-Q_{ii} = /frac{500J}{mol}
Hence, the correct option is (B).

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