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A reversible cyclic process for an ideal...

A reversible cyclic process for an ideal gas is shown below. Here, P, V, and T are pressure, volume and temperature, respectively. The thermodynamic parameters q, w, H and U are heat, work, enthalpy and internal energy, respectively.

The correct option (s) is (are)

A

`q_(AC)=DeltaU_(BC) and W_(AB)=P_(2)(V_(2)-V_(1))`

B

`W_(BC)=P_(2)(V_(2)-V_(1))and q_(BC)=DeltaH_(AC)`

C

`DeltaH_(CA)ltDeltaU_(CA)and q_(AC)=DeltaU_(BC)`

D

`q_(BC)=DeltaH_(AC) and DeltaH_(CA) gt DeltaU_(CA)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
AC `rarr` Isochoric
AB `rarr` Isothermal
BC `rarr` Isobaric
`# q_(AC)=DeltaU_(BC)=nC_(V)(T_(2)-T_(1))`
`W_(AB)=nRT_(1)ln((V_(2))/(V_(1)))" A(wrong)"`
`#q_(BC)=DeltaH_(AC)=nC_(P)(T_(2)-T_(1))`
`W_(BC)=-P_(2)(V_(1)-V_(2))" B(correct)"`
`# nC_(P)(T_(1)-T_(2))ltnC_(V)(T_(1)-T_(2))" C(correct)"`
`DeltaH_(CA)ltDeltaU_(CA)`
`# D` (wrong).
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Knowledge Check

  • The cyclic process for 1 mole of an ideal gas is shown in the V-T diagram. The work done in AB, BC and CA respectively is

    A
    (a) 0, `RT_(2)In|V_2/V_1|,R(T_1-T_2)`
    B
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    C
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    D
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  • A cyclic process for 1 mole of an ideal gas is shown in the V-T diagram. The work done in AB, BC and CA respectively are

    A
    `0, RT_(1) ln((V_(1))/(V_(2))), R(T_(1) - T_(2))`
    B
    `R, R(T_(1) - T_(2)), RT_(1) ln ((V_(1))/(V_(2)))`
    C
    `0, RT_(2) ln ((V_(1))/(V_(2))), R(T_(1) - T_(2))`
    D
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    A
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    C
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    D
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