Figure shows three containers- The rightmost container contains water heat capacity 5 cal-C- initially at temperature 100-C- The middle container contains water maintained at 80-C with the help of a heater- The container at the left hand side contains ice at 0-C- There are two heat conducting rods A and B both having thermal resistance equal to 10-C s-cal- Disregard any heat loss in the surrounding-The temperature of water in the rightmost container decreases with time- The rate with which the ice melts in the leftmost container

The thermal current flowing into the ice container is i_3 = Δ T_AR_A = 80 010 = 8 cal/s = dQdt Therefore dQdt = dmdt l_f = 8 cal/s Rate at which ice melts ...

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Byju's Answer

Standard XIII

Physics

Calorimetry

Figure shows ...

Question

Figure shows three containers. The rightmost container contains water (heat capacity $5 c a l /^{\circ} C$ ), initially at temperature $100^{\circ} C$ . The middle container contains water maintained at $80^{\circ} C$ with the help of a heater. The container at the left hand side contains ice at $0^{\circ} C$ . There are two heat conducting rods $A$ and $B$ both having thermal resistance equal to $10^{\circ} C s/cal$ . Disregard any heat loss in the surrounding.

The temperature of water in the rightmost container decreases with time. The rate with which the ice melts in the leftmost container

will decrease with time

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will increase with time

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will remain steady

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will increase and then decrease

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Solution

The correct option is C will remain steady

The thermal current flowing into the ice container is
$i_{3} = \frac{Δ T_{A}}{R_{A}} = \frac{80 - 0}{10} = 8 c a l / s = \frac{d Q}{d t}$

Therefore $\frac{d Q}{d t} = \frac{d m}{d t} l_{f} = 8 c a l / s$

Rate at which ice melts will remain constant.

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Similar questions

Q. Figure shows three containers. The rightmost container contains water (heat capacity

5 c a l /^{\circ} C

), initially at temperature

100^{\circ} C

. The middle container contains water maintained at

80^{\circ} C

with the help of a heater. The container at the left hand side contains ice at

0^{\circ} C

. There are two heat conducting rods

A

and

B

both having thermal resistance equal to

10^{\circ} C s/cal

. Disregard any heat loss in the surrounding.

Find the rate with which ice melts in the leftmost container.

Q. Figure shows three containers. The rightmost container contains water (heat capacity

5 c a l /^{\circ} C

), initially at temperature

100^{\circ} C

. The middle container contains water maintained at

80^{\circ} C

with the help of a heater. The container at the left hand side contains ice at

0^{\circ} C

. There are two heat conducting rods

A

and

B

both having thermal resistance equal to

10^{\circ} C s/cal

. Disregard any heat loss in the surrounding.

The temperature of water in the rightmost container decreases with time. The rate with which the ice melts in the leftmost container

Q. Figure shows three containers. The rightmost container contains water (heat capacity

5 c a l /^{\circ} C

), initially at temperature

100^{\circ} C

. The middle container contains water maintained at

80^{\circ} C

with the help of a heater. The container at the left hand side contains ice at

0^{\circ} C

. There are two heat conducting rods

A

and

B

both having thermal resistance equal to

10^{\circ} C s/cal

. Disregard any heat loss in the surrounding.

Initially, what is the power of heater required to maintain the temperature of middle container at

80^{\circ} C

Q. Figure shows three containers. The rightmost container contains water (heat capacity

5 c a l /^{\circ} C

), initially at temperature

100^{\circ} C

. The middle container contains water maintained at

80^{\circ} C

with the help of a heater. The container at the left hand side contains ice at

0^{\circ} C

. There are two heat conducting rods

A

and

B

both having thermal resistance equal to

10^{\circ} C s/cal

. Disregard any heat loss in the surrounding.

Initially, what is the power of heater required to maintain the temperature of middle container at

80^{\circ} C

Q. An ice cube of mass

0.1 kg

0^{\circ} C

is placed in an isolated container which is at

227^{\circ} C

. The specific heat

S

of the container varies with temperature

T

according to the empirical relation

S = A + B T

, where

A = 100 cal/kg K

and

B = 2 \times 10^{- 2} {cal/kg K}^{2}

. If the final temperature of the container (with the material in it) is

27^{\circ} C

, determine the mass of the container.
[Latent heat of fusion of water

= 80 {cal/g}^{\circ} C

, specific heat of water

= 1 {cal/g}^{\circ} C

]

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The correct option is C will remain steady The thermal current flowing into the ice container is i3=ΔTARA=80−010=8 cal/s=dQdt Therefore dQdt=dmdtlf=8 cal/s Rate at which ice melts will remain constant.

The correct option is C will remain steady

The thermal current flowing into the ice container is
$i_{3} = \frac{Δ T_{A}}{R_{A}} = \frac{80 - 0}{10} = 8 c a l / s = \frac{d Q}{d t}$

Therefore $\frac{d Q}{d t} = \frac{d m}{d t} l_{f} = 8 c a l / s$

Rate at which ice melts will remain constant.