Method of Mixtures

Q.

If $1000\text{cal}$ of heat energy is supplied to water at $30°\text{C}$, then .

1. water starts to boil.

2. water completely converts to steam.

3. it will either remain in a liquid state or convert to steam depending on its mass.

4. quantity of water in the container will decrease.

Q.

Liquid A of specific heat capacity $0.84J{g}^{-1}{k}^{-1}$at a temperature of ${50}^{\circ }C$ is mixed with $200g$ of a liquid B of specific heat capacity $2.1J{g}^{-1}{k}^{-1}$ at ${30}^{\circ }C$. The final temperature of mixture becomes ${42}^{\circ }C$. The mass of liquid A (in $g$) will be

1. 333
2. 750
3. 375
4. data not sufficient

Q. Sample A containing $100g$ of water at $30{}^{\circ }C$ is mixed with another sample B containing $100g$ water at $10{}^{\circ }C$. What will be the temperature (T) of the mixture of sample A and B?

1. ${25}^{\circ }C$
2. $5^{\circ }C$
3. ${20}^{\circ }C$
4. ${15}^{\circ }C$

Q. A copper cube of mass $200g$ slides down on a rough inclined plane of inclination ${37}^{\circ }$ at a constant speed. Assume that any loss in mechanical energy goes into the copper block as thermal energy. Find the increase in the temperature of the block as it slides $60cm$ along the inclined plane. Specific heat capacity of copper = $420Jk{g}^{-1}{K}^{-1}$. Take $sin\left({37}^{\circ }\right)=\frac{3}{5}$

1. $4.6\times {10}^3{}^{\circ }C$
2. $4.8\times {10}^{-3}{}^{\circ }C$
3. $8.6\times {10}^{-3}{}^{\circ }C$
4. $7.8\times {10}^2{}^{\circ }C$

Q. Two samples, each containing $400g$ of water, are mixed. The temperature of sample A before mixing was ${65}^{\circ }C$ and that of sample B was ${20}^{\circ }C$. What will be the final temperature of the mixture? (Specific heat of water = 4186 J/(kg.K)

1. ${40.5}^{\circ }C$
2. ${41.5}^{\circ }C$
3. ${42.5}^{\circ }C$
4. ${43.5}^{\circ }C$

Q. What happens to the specific heat capacity of water, if the quantity of water increases?

Q. Two samples, each containing $400g$ of water, are mixed. The temperature of sample A before mixing was ${65}^{\circ }C$ and that of sample B was ${20}^{\circ }C$. What will be the final temperature of the mixture? (Specific heat of water = 4186 J/(kg.K)

1. ${40.5}^{\circ }C$
2. ${41.5}^{\circ }C$
3. ${42.5}^{\circ }C$
4. ${43.5}^{\circ }C$

Q. Two samples, each containing $400g$ of water, are mixed. The temperature of sample A before mixing was ${20}^{\circ }C$ and that of sample B was ${65}^{\circ }C$. What will be the final temperature of the mixture? (Specific heat of water = 4186 J/kg K)

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

Q. A copper cube of mass $200g$ slides down on a rough inclined plane of inclination ${37}^{\circ }$ at a constant speed. Assume that any loss in mechanical energy goes into the copper block as thermal energy. Find the increase in the temperature of the block as it slides $60cm$ along the inclined plane. Specific heat capacity of copper = $420Jk{g}^{-1}{K}^{-1}$. Take $sin\left({37}^{\circ }\right)=\frac{3}{5}$

1. $4.6\times {10}^3{}^{\circ }C$
2. $4.8\times {10}^{-3}{}^{\circ }C$
3. $7.8\times {10}^2{}^{\circ }C$
4. $8.6\times {10}^{-3}{}^{\circ }C$

Q. Two samples, each containing $400g$ of water, are mixed. The temperature of sample A before mixing was ${20}^{\circ }C$ and that of sample B was ${65}^{\circ }C$. What will be the final temperature of the mixture? (Specific heat of water = 4186 J/kg K)

1. ${22.5}^{\circ }C$
2. ${42.5}^{\circ }C$
3. ${52.5}^{\circ }C$
4. ${32.5}^{\circ }C$

Q. The amount of heat energy required to raise the temperature of unit mass of a substance by 1 degree celsius is called _______.

1. latent heat of vaporization
2. latent heat of fusion
3. specific heat capacity
4. heat capacity

Q. Specific heat capacity is defined for _____.

1. all states of matter
2. liquids only
3. gases only
4. solids only

Q. Assertion :Work done in moving a body over a smooth inclined plane does not depend upon slope of inclined plane, provided its height is same Reason: $W=mgh=mglsin\theta$

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Both Assertion and Reason are incorrect

Q. $300g$ of coconut oil at ${50}^{\circ }C$ is mixed with $500g$ kerosene at ${10}^{\circ }C$. Determine the temperature of the mixture. (Specific heat of coconut oil = $2100Jk{g}^{-1}{K}^{-1}$ and specific heat of kerosene = $2000Jk{g}^{-1}{K}^{-1}$.

Q.

What happens to the specific heat capacity of water, if the quantity of water increases?

1. It decreases.

2. It increases.

3. Remains the same.

4. Insufficient data.

Q. The temperature of equal masses of three different liquids $A$, $B$, $C$ are ${12}^{\circ }C$, ${19}^{\circ }C$ and ${28}^{\circ }C$ respectively. The temperature when $A$ and $B$ are mixed is ${16}^{\circ }C$ while when $B$ and $C$ are mixed, it is ${23}^{\circ }C$. What would be the temperature when $A$ and $C$ are mixed assuming the same initial temperatures?

1. ${30.26}^{\circ }C$

2. ${40.26}^{\circ }C$

3. ${20.26}^{\circ }C$

4. ${10.26}^{\circ }C$

Q. An iron block of mass $1kg$ is heated to $300{}^{\circ }C$. If it is immersed in $1kg$ of water at $30{}^{\circ }C$, then what will be the change in temperature of water (in ${}^{\circ }C)$?
$[$specific heat capacity of iron : $460Jk{g}^{-1}{K}^{-1}$, water: $4200Jk{g}^{-1}{K}^{-1}]$

1. $29{}^{\circ }C$
2. $26.65{}^{\circ }C$
3. $243.35{}^{\circ }C$
4. $23.65{}^{\circ }C$

Q. Calculate the amount of heat required to raise the temperature of $40kg$ of compound from $10{}^{\circ }C$ to $35{}^{\circ }C$ . Specific heat capacity of the compound is $50J/k{g}^{\circ }C$.

1. $5000J$
2. $50,000J$
3. $0.5kJ$
4. $50,000kJ$

Q. $300g$ of coconut oil at ${50}^{\circ }C$ is mixed with $500g$ kerosene at ${10}^{\circ }C$. Determine the temperature of the mixture. (Specific heat of coconut oil = $2100Jk{g}^{-1}{K}^{-1}$ and specific heat of kerosene = $2000Jk{g}^{-1}{K}^{-1}$.