Home
Class 11
PHYSICS
When 0. 25 kg of ice at 0^(@)C mixed ...

When 0. 25 kg of ice at `0^(@)C` mixed with 0.50 kg of water at `50^(@)C` in a container the resulting temperature is `7.7^(@)C`. Calculate the heat of fusion of ice `(S_(W)=4186Jkg^(-1)K^(-1))` .

Text Solution

Verified by Experts

We are given :
Mass of water , `m_(1)=0.50`kg
Mass of ice , `m_(2)=0.25kg`
Temperature of water , `T_(1)=50^(@)C`
Temperature of ice `T_(2)=0^(@)C`
Specific heat of water , `S_(W)=4186Jkg^(-1)K^(-1)`.
common temperature , `T=7.7^(@)C` .
According to the principle of calorimetry .
Heat last =Heat gained
`m_(1)S_(w)(T_(1)-T)=m_(2)L_(f)+m_(2)S_(w)(T-T_(2))`
`0.50xx4186(50-7.7)=0.25xxL_(f)+0.25xx4186(7.7-0)`
`88533.9=0.25L_(f)+8058.05`
`rArrL_(f)=3.22xx10^(5)Jkg^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

540 g of ice at 0^@C is mixed with 540 g of water at 80^@C . The final tempreature of the mixture in @^C will be

One gram of ice at 0^@C is aded to 5 gram of water at 10^@C . Final temperature of the mixture is

A ballon has 5.0 g mole of helium at 7^@C calculate the number of atoms of helium in the ballon.

35 g of compound is added in 1 kg of water so that the resulting solution freezes at - 10^(@) C . If K_(f) for water = 1. 86 K/m . Calculate the molecular mass of the compound

Calculate pOH of 0.1 M aq. Solution of weak base BOH (K_(b)=10^(-7)) at 25^(@)C.

In a experiment on the specific heat of a metal, a 0.20 kg block of the metal at 150^@C is dropped in a copper calorimeter (of water equivalent 0.025 kg) containing 150 cc of water at 27^@C . The final temperature is 40^@C . Compute the specific heat of the metal. If heat losses to the surroundings are not negligible, is your answer greater or smaller than the actual value for specific heat of the metal?

A thermocole box is a cheap and effieicnet method for storing small quantity of cooked food in summer in particular. A cubical box of side 30 cm has a thickness of 5 cm. If 4 kg of ice are put in a box. Estimate the amount of ice remaining after 6 h. The outside temperature 45^@C , and coefficient K = 0.01 J s^-1 m^-1 k^-1 [Heat of fusion of water = 335 xx 10^3 J kg^-1] .

A ballon has 5.0 g mole of helium at 7^@C calculate the total internal eneryg of the system.

When 36.0 g of a solute having the empirical formula CH_(2)O is dissovled in 1.20 kg of water, the solution freezes at -0.93^(@)C . What is the moleculer formula of the solute ? ( K_(f) = 1.86^(@)C kg mol^(-1) )