The absolute coefficient of expansion of a liquid is 7 times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is

Question

The absolute coefficient of expansion of a liquid is 7 times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is (A) (1/7) (B) (7/6) (C) (6/7) (D) None of these

Tardigrade Admin · Accepted Answer

Apparent coefficient of volume expansion

γ_{app.} = γ_{L} - γ_{s} = 7 γ_{s} - γ_{s} = 6 γ_{s}

(given

γ_{L} = 7 γ_{s}

)
Ratio of absolute and apparent expansion of liquid

\frac{γ _{L}}{γ _{app}} = \frac{7 γ _{s}}{6 γ _{s}} = \frac{7}{6}

Q. The absolute coefficient of expansion of a liquid is $7$ times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is

$\frac{1}{7}$

$\frac{7}{6}$

$\frac{6}{7}$

None of these

Apparent coefficient of volume expansion
$γ_{app.} = γ_{L} - γ_{s} = 7 γ_{s} - γ_{s} = 6 γ_{s}$ (given $γ_{L} = 7 γ_{s}$ )
Ratio of absolute and apparent expansion of liquid
$\frac{γ _{L}}{γ _{app}} = \frac{7 γ _{s}}{6 γ _{s}} = \frac{7}{6}$

Q. The absolute coefficient of expansion of a liquid is 7 times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is

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