+1 and +2 PCM Formula Sheet

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    IIT-JEE

    (viii)

    C

    p

    -

    C

    v

    = R

    C R

    yR

    ix)

    _ P

    =

    y;

    C

    v

    =

    ;

    C

    p

    C

    v

    Y- 1 y - 1

    (x) In an isothermalchange,there is nochange in temperature,

    39'-

    PjV

    j

    =P

    2

    V

    2

    ,

    ~ U =0

    (xi) Inanadiabaticchange,thequantityofheatsuppliedortakenout is zero,

    PV

    Y

    =

    P V

    Y

    ~ =

    0

    1 1 2

    2'

    TV

    Y

    -

    1=

    T

    Y

    -

    1

    1 1 2 2

    p

    P

    1 2

    py -1 p

    Y

    -

    1

    1 2

    (xii) Workdonein adiabaticchange,

    _ P 1 V P V

    2

    nR(T

    1

    - T )

    _

    2

    2

    W

    Y

    1

    y-1

    (xiii) Workdonein isothermalchange,

    W

    2.303

    n

    T

    log

    ::)

    2.303

    P,V,

    log ::)

    C

    (xiv) IfPV

    n

    =constant,it is called polytropicprocess(wheren f

    y

    Y=

    -p)

    C

    v

    Inthisprocess,

    molarheatcapacity,

    C = ~ _ _ R

    )

    y 1

    n-1

    (xv) Workdone in aclosedcycle is theareaenclosedbyPVgraph,

    (

    xv

    i)

    Slope

    1 V diagram

    P

    Forisothermalprocess: (dP)

    dV isoth.

    V

    yP

    Foradiabaticprocess: ( dP)

    dV

    adia.

    V

    Brill iantTutorialsPvt. Ltd,

    YG/Comp-Phy- 39

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