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A hollow aluminium cylinder 20.0 cm deep...

A hollow aluminium cylinder 20.0 cm deep has an internal capacity of 2.000 L at `20.0^@` C. It is completely filled with tupentine and then slowly warmed to `80.0^@`C a. How much turpentine overflows? B. If the cylindre is then cooled back to `20.0^@`C, how far below the cylinder's rim dows the tupentine's surface recede? γ ~ ( t u r p ) = ( 9.00 × 10^ − 4 / ∘ C ) , γ ~ ( a l ) = ( 0.72 × 10^ − 4 / ∘ C )

Text Solution

Verified by Experts

The correct Answer is:
`0.11`

Volume of overflow
`=Delta V _("turpentine") - Delta V _(Al) = gamma _("turpentine") V _(0) Delta theta - gamma _(A l) V _(0) Delta theta`
`= (gamma _("Turpentine")- 3alpha _(Al)) V _(0) Delta theta = (9.00xx10^(-4)-2.16xx10^(-4)) V_(0) Delta theta`
`= 6.84xx10^(-4) xx 2xx 80L =0.11L`
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