Expansion of Liquids

Q.

Compare thermal expansion in solid, liquid and gases.

Q.

Which of the following graphs shows the variation in density of water with the temperature in the range from 0 ${}^{\circ }C$ to 10 ${}^{\circ }C$?

1. 

2. 

3. 

4. 

Q.

What do you understand by cubical expansion?

Q. In an industrial process $10kg$ of water per hour is to be heated from ${20}^{\circ }C\text{to}{80}^{\circ }C$. To do this steam at ${150}^{\circ }C$ is passed from a boiler into a copper coil immersed in water. The steam condenses in the coil and is returned to the boiler as water at ${90}^{\circ }C$ then ___ $kg$ of steam is required per hour.

(Given: Specific heat of steam $=1$ calorie per g ${}^{\circ }C$, latent heat of vaporization $=540cal{g}^{-1}$)

1. $3$
2. $4$
3. $1$
4. $2$

Q.

Liquids experience

1. only superficial expansion

2. only linear expansion

3. only cubical expansion

4. linear, surface and volume expansion

Q.

Liquids expand much more than gases on heating.

1. True
2. False

Q. You have $mkg$ of a certain liquid in a vessel, which is heated till there is a temperature change of $\Delta T$. If the coefficient of volume expansion is $\gamma$, what is the density of the liquid after heating, if the initial density was $\rho$?

1. ${\rho }_2={\rho }_1(1+\gamma \Delta T)$
2. ${\rho }_2=\frac{{\rho }_1}{1+\gamma \Delta T}$
3. ${\rho }_2={\rho }_1(\gamma \Delta T-1)$
4. ${\rho }_2=\frac{{\rho }_1}{1-\gamma \Delta T}$

Q.

You have $mkgs$ of a certain liquid in a vessel, which is heated till there is a temperature change of $\Delta T$. If the coefficient of volume expansion is $\gamma$, what is the density of the liquid after heating, if the initial density was $\rho$?

1. ${\rho }^{\prime }$ = $\rho (1+\gamma \Delta T)$

2. ${\rho }^{\prime }$ = $\rho (1-\gamma \Delta T)$

3. ${\rho }^{\prime }$ = $\rho -\gamma \Delta T)$

4. ${\rho }^{\prime }$ = $\rho -\gamma \Delta T)$

Q.

Alcohol and water have same rate of expansion.

1. False

2. True

Q. Liquid is filled in a flask up to a certain point. When the flask is heated, the level of the liquid ___________ .

1. Immediately starts increasing
2. Initially falls and then rises
3. Rises abruptly
4. Falls abruptly

Q.

In an industrial process $10kg$ of water per hour is to be heated from ${20}^{\circ }Cto{80}^{\circ }C.$ To do this steam at ${150}^{\circ }C$ is passed from a boiler into a copper coil immersed in water. The steam condenses in the coil and is returned to the boiler as water at ${90}^{\circ }C.$ then___ $kg$ of steam is required per hour.
(Specific heat of steam = 1 calorie per gm°C, Latent heat of vaporization = 540 cal/gm)

Q.

Match the columns

Column 1	Column 2
Expansion in length	Boiling
Expansion in volume	Evaporation
Expansion in area	Linear expansion
Rapid process	Cubical expansion
Surface phenomenon	Superficial expansion

Q. A lump of $0.10kg$ of ice at $-{10}^{\circ }C$ is put in $0.15kg$ of water at ${20}^{\circ }C$. How much water and ice will be found in the mixture when it has reached in thermal equilibrium.
(Specific heat of water $=1kcalk{g}^{-1}$, specific heat of ice $=0.50kcalk{g}^{-1}$ while its latent heat $=80kcalk{g}^{-1}$)

1. Ice is $68.75gm$, and water is $181.25gm$ at $0^{\circ }C$.
2. Ice is $16.75gm$, and water is $11.25gm$ at $0^{\circ }C$.
3. Ice is $108.75gm$, and water is $101.25gm$ at ${10}^{\circ }C$.
4. Ice is $6.75gm$, and water is $181.25gm$ at ${100}^{\circ }C$.

Q.

Steam at $100{}^{\circ }C$ is passed into $1.1kg$ of water contained in a calorimeter of water equivalent $0.02kg$ at $15{}^{\circ }C$ till the temperature of the calorimeter and its contents reaches $80{}^{\circ }C$. Considering the latent heat of steam $=540cal{g}^{-1}$ $\mathrm{and}{s}^{}$pecific heat capacity of water $=4183Jk{g}^{-1}{K}^{-1}$ ${\mathrm{or}}^{}$ $=1calk{g}^{-1}{K}^{-1}$,
calculate the mass of the steam condensed.

1. $0.139$

2. $0.065$

3. $0.144$

4. $0.263$

Q.

Define cubical expansion.

Q.

The coefficient of volumetric expansion of mercury is $8\times {10}^{-5}{}^{\circ }C$. A thermometer bulb has a volume ${10}^{-6}{m}^3$ and cross section of stem is $0.004c{m}^2$. Assuming that bulb is filled with mercury at $0^{\circ }C$, then the length of the mercury column at ${100}^{\circ }C$ is:

1. $18.8mm$
2. $9.2mm$
3. $7.4cm$
4. $2cm$

Q. On what principle does mercury thermometer work?

1. Thermal expansion of liquids
2. Thermal expansion of gases
3. Thermal expansion of solids
4. Anomalous expansion