A bakelite beaker has volume capacity of 500 cc at 30 ° C . When it is partially filled with V m volume (at 30 ° C ) of mercury, it is found that the unfilled volume of the beaker remains constant as

Question

A bakelite beaker has volume capacity of $500 cc$ at $30 ° C$ . When it is partially filled with $V_{m}$ volume (at $30 ° C$ ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If $γ_{bester} = 6 \times 10^{- 6} 0 ° C^{- 1},$ where $γ$ is the coefficient of volume expansion, then $V_{m}$ (in $cc$ ) is close to $\dots$

Answer:

20.00

Solution:

$∆ Vm = ∆ Vc$

$Vmγm ∆ T = Vcγc ∆ T$

$Vm = \frac{Vcγc}{γm} = \frac{500 \times 6 \times 10^{- 6}}{1.5 . \times 10^{- 4}} = 20 cc$

TestHub · Accepted Answer

∆ Vm = ∆ Vc Vmγm ∆ T = Vcγc ∆ T Vm = Vcγc γm = 500 × 6 × 10 - 6 1 . 5 . × 10 - 4 = 20 cc

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