A bucket full of hot water is kept in a room and it cools from 75-C to 70-C in T1 minutes- from 70-C to 65-C in T2 minutes and from 65-C to 60-C in T3 minutes- Then

You visited us 1 times! Enjoying our articles? Unlock Full Access!

1st Law of Thermodynamics

A bucket full...

Question

A bucket full of hot water is kept in a room and it cools from $75^{\circ} C$ to $70^{\circ} C$ in $T_{1}$ minutes, from $70^{\circ} C$ to $65^{\circ} C$ in $T_{2}$ minutes and from $65^{\circ} C$ to $60^{\circ} C$ in $T_{3}$ minutes. Then

T_{1} = T_{2} = T_{3}

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

T_{1} < T_{2} < T_{3}

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

T_{1} > T_{2} > T_{3}

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

T_{1} < T_{2} > T_{3}

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

Open in App

Solution

The correct option is A $T_{1} < T_{2} < T_{3}$
The time of cooling increases as the difference between the temperature of body & surrounding is reduced. So $T_{1} < T_{2} < T_{3}$ (according to Newton's Law of cooling, that is rate of cooling $\propto (T - T_{s})$ ).

Suggest Corrections

Similar questions

Q. A bucket full of hot water cools from

75^{\circ} C

70^{\circ} C

in time

t_{1}

, from

70^{\circ} C

65^{\circ} C

in time

t_{2}

and from

65^{\circ} C

60^{\circ} C

in time

t_{3}

, then

A bucket full of hot water cools from $75^{\circ} C$ to $70^{\circ} C$ in time $T_{1}$ , from $70^{\circ} C$ to $65^{\circ} C$ in time $T_{2}$ and from $65^{\circ} C$ to $60^{\circ} C$ in time $T_{3}$ , then

A bucket full of hot water cools from $75^{o} C t o 70^{o} C$ in time $T_{1}$ , from $70^{o} C t o 65^{o} C$ in time $T_{2}$ , and from $65^{o} C t o 60^{O} C$ in time $T_{3}$ then