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The pressure volume work for an ideal ga...

The pressure volume work for an ideal gas can be calculated by using the expression `w=-int_(V_(i))^(v_(f))Pex dV`. The work can also be calculated from the pV-plot by using the area under the curve within the specified limits. When an ideal gas is compressed (a) reversibly or (B) irreversibly from volume `V_(i)` to `V_(f)` choose the correct option.

A

w ( reversible)=w ( irreversible)

B

w( reversible) `lt` w ( irreversible)

C

w ( reversible) `gt` w ( irreversible)

D

w(reversible)`=`w ( irreversible) `+p_(ex) DeltaV`

Text Solution

Verified by Experts

The correct Answer is:
b
Look at Fig.page. Area under the curvein Figure. (a) Which is for irreversible compression is more than the area under tha curve in Figure. Which is for reversible compression. Hence, for compression `w( rev) lt w ( "irrev")`.
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Knowledge Check

  • The pressure volume work for an ideal gas can be calculated by using the expression W=-int_(V_(i))^(V_(f))p_(ext)dV . The work can also be calculated from the pV-plot by using the area under the curve within the specified limits. When an ideal gas is compressed (a) reversibly or (b) irreversibly from volume V_(i) to V_(f) . choose the correct option.

    A
    `W_(("reversible")) = W_(("irreversible"))`
    B
    `W_(("reversible")) lt W_(("irreversible"))`
    C
    `W_(("reversible")) gt W_(("Irreversible"))`
    D
    `W_(("reversible"))=W_(("irreversible"))+p_(ext)*DeltaV`

  • The pressure-volume work for an ideal gas can be calculated by using the expression W=-int_(V_(i))^(V_(f))P_(ex)dV. The work can also be calculated from the pV - plot by using the area under the curve within the specified limits. When an ideal gas is compressed (i) reversibly or (ii) irreversibly from volume V_(i) to V_(f) . Choose the correct option.

    A
    `W_("reversible")=W_("irreversible")`
    B
    `W_("reversible")ltW_("irreversible")`
    C
    `W_("reversible") gt W_("irreversible")`
    D
    `W_("reversible")=W_("irreversible")+P_(ex)DeltaV`

  • The pressure-volume work for an ideal gas can be calculated by using the expression w = -int_(V_(i))^(V_(f)) p_(exdV) .The work can be calculated form the pV - plot by using the area under the curve within the specified limits. When an ideal gas is compressed (a) reversibly or (b) irreversibly from volume V_(i) to V_(f) , choose the correct option.

    A
    w (reversible) = w (irreversible)
    B
    w (reversible) `lt` w (irreversible)
    C
    w (reversible) `gt` w (irresversible)
    D
    w(reversible) = w(irreversible) + `p_(ex)DeltaV`

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