Home
Class 12
PHYSICS
A certain amount of ice is supplied heat...

A certain amount of ice is supplied heat at a constant rate for 7 min. For the first one minute the temperature rises uniformly with time. Then it remains constant for the next 4 min and again the temperature rises at uniform rate for the last 2 min. Given `S_("ice")=0.5cal//g^(@)C,L_(f)=80cal//g`.
The initial temperature of ice is

A

`-10^(@)C`

B

`-20^(@)C`

C

`-30^(@)C`

D

`-40^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
Let heat is supplied at a rate of `k_(1)"cal"//"min"` then
`k_(1) xx 1 = m(0.5)theta_(1)`
`k_(1)xx4 = m(80)` `" "` `k_(1) xx 2 = m(1)(theta_(2))`
`implies k_(1) = 20 m implies theta_(1) = 40^(@)C , theta_(2) = 40^(@)C`
Therefore initial temperature =`-40^(@)C`
Final temperature = `+40^(@)C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 04 (A)|47 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 04 (B)|15 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise ASSERTION-REASON|36 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

A certain amount of ice is supplied heat at a constant rate for 7 min. For the first one minute the temperature rises uniformly with time. Then it remains constant for the next 4 min and again the temperature rises at uniform rate for the last 2 min. Given S_("ice")=0.5cal//g^(@)C,L_(f)=80cal//g . Final temperature at the end of 7 min is

A certain amount of ice is supplied heat at a constant rate for 7 minutes. For the first one minute the temperature rises uniformly with time. Then, it remains constant for the next 4 minute and again the temperature rises at uniform rate for the last two minutes. Calculate the final temperature at the end of seven minutes. (Given, L of ice = 336 xx (10^3) J//kg and specific heat of water = 4200 J//kg-K ).

In the above problem if heat is supplied at a constant rate of q= 10 cal//min , then plot temperature versus time graph.

Heat is being supplied at a constant rate to the sphere of ice which is melting at the rate of 0.1 gm/s. It melts completely in 100 s. The rate of rise of temperature thereafter will be

The rate constant of a first order reaction at 27^@C is 10–3 min–1. The temperature coefficient of this reaction is 2. What is the rate constant (in min–1) at 17^@C for this reaction :-

A certain mass of ice at 0^@C is converted to steam at 100^@C by constant heating, Draw temperature-time graph showing the change in phases.

A certain mass of ice at 0^@C is converted to steam at 100^@C by constant heating, Draw temperature-time graph showing the change in phases.

Aluminium container of mass of 10 g contains 200 g of ice at -20^(@)C . Heat is added to the system at the rate of 100 calories per second. What is the temperature of the system after four minutes? Draw a rough sketch showing the variation of the temperature of the system as a function of time . Given: Specific heat of ice = 0.5"cal"g^(-1)(.^(@)C)^(-1) Specific heat of aluminium = 0.2"cal"g^(-1)(.^(@)C)^(-1) Latent heat of fusion of ice = 80"cal"g^(-1)

In a container of negligible heat capacity 200 gm ice at 0^(@) C and 100 gm steam at 100^(@) C are added to 200 gm of water that has temperature 55^(@) C. Assume no heat is lost to the surroundings and the pressure in the container is constant of 1.0atm (L_(f)=80 cal//gm,L_(v)=540cal//gm, s_(w)=1 cal//gm^(@)C) At the final temperature, mass of the total water present in the system, is

A 10 g ice cube is dropped into 45 g of water kept in a glass. If the water was initially at a temperature of 28^(@)C and the temperature of ice -15^(@)C , find the final temperature (in ^(@)C ) of water. (Specific heat of ice =0.5" "cal//g-""^(@)C" and "L=80" "cal//g)

Home
Profile