A weight thermometer contains 52 gms of a liquid at 10 $^{0}$ C. When it is heated to 110 $^{0}$ C, 2 gm of the liquid is expelled. The coefficient of real expansion of the liquid is [ $α$ of glass is $9 \times 10^{- 6 / 0} C$ ]

27 \times 10^{- 6 / 0} C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

412 \times 10^{- 6 / 0} C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

373 \times 10^{- 6 / 0} C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $412 \times 10^{- 6 / 0} C$
$V_{e x p e l l e d} = V_{0} (γ_{l} - γ_{g}) Δ T$
$\Rightarrow 2 = 52 \times (γ_{l} - 3 \times α_{g}) \times (110 - 10)$
$\Rightarrow 2 = 52 \times (γ_{l} - 3 \times 9 \times 10^{- 6}) \times 100$
$\Rightarrow γ_{l} = \frac{2}{52} \times 10^{- 2} + 27 \times 10^{- 6} = 385 \times 10^{- 6} + 27 \times 10^{- 6} = 412 \times 10^{- 6}$

Suggest Corrections

Similar questions

The densities of a liquid at 0 $^{0}$ C and 100 $^{0}$ C are respectively 1.0127 and 1. A specific gravity bottle is filled with 300gm of the liquid at 0 $^{0}$ C up to the brim and it is heated to 100 $^{0}$ C. Then the mass of the liquid expelled in grams is [Coefficient of linear expansion of glass = $9 \times 10^{- 6 / 0} C$ ]

The coefficient of apparent expansion of mercury in a glass vessel is $153 \times 10^{-} 6 /^{o} C$ and in a steel vessel is $144 \times 10^{- 6} /^{o} C$ . If a for steel is $12 \times 10^{- 6} /^{o} C$ , then that of glass is

The ratio of coefficient of apparent expansions of a liquid in the containers A and B is 1:2. If $18 \times 10^{- 6 / 0} C$ and $12 \times 10^{- 6 / 0} C$ are the co-efficients of linear expansions of the containers A and B respectively, then the coefficient of real expansion of the liquid is

A specific gravity bottle contains 510 gms of liquid at 0 $^{o}$ C. When heated to 100 $^{o}$ C it is found that 10 gms of liquid overflows. The coefficient of apparent expansion of liquid is :

A glass bulb of volume 250cc is filled with mercury at 20 $^{0}$ C and the temperature is raised to $100^{0} C$ . If the coefficient of linear expansion of glass is $9 \times 10^{- 6 / 0} C$ Coefficient of absolute expansion of mercury is $18 \times 10^{- 4 / 0} C$ . The volume of mercury that overflows is

Join BYJU'S Learning Program

A weight thermometer contains 52 gms of a liquid at 100C. When it is heated to 1100C, 2 gm of the liquid is expelled. The coefficient of real expansion of the liquid is [α of glass is 9×10−6/0C]

The correct option is C 412×10−6/0CVexpelled=V0(γl−γg)ΔT⇒2=52×(γl−3×αg)×(110−10)⇒2=52×(γl−3×9×10−6)×100⇒γl=252×10−2+27×10−6=385×10−6+27×10−6=412×10−6

A weight thermometer contains 52 gms of a liquid at 10 $^{0}$ C. When it is heated to 110 $^{0}$ C, 2 gm of the liquid is expelled. The coefficient of real expansion of the liquid is [ $α$ of glass is $9 \times 10^{- 6 / 0} C$ ]