Advertisement Remove all ads

104g of Water at 30°C is Taken in a Calorimeter Made of Copper of Mass 42 G. When a Certain Mass of Ice at 0°C is Added to It, the Final Steady Temperature of the Mixture After the Ice Has Melted, - Physics

Numerical

104g of water at 30°C is taken in a calorimeter made of copper of mass 42 g. When a certain mass of ice at 0°C is added to it, the final steady temperature of the mixture after the ice has melted, was found to be 10°C. Find the mass of ice added. [Specific heat capacity of water = 4.2 Jg–1°C–1 ; Specific latent heat of fusion of ice = 336 Jg–1; Specific heat capacity of copper = 0.4 Jg–1°C–1] .

Advertisement Remove all ads

Solution

mw =104g 
Tw = 30° C
mc = 42 g

T =10°C
 mi = ? 
By Calorimetry,
Heat lost = Heat gained

mw Sw(Tw -T) + mc Sc(Tw - T) =mi α + mi Sw(T-Ti)   

⇒ (104)(4.2)(30 -10) +(42)(0.4)(30 -10) = mi (336)+ mi(4.2)(10- 0)  

⇒ mi `=((104)(4.2)(20)+(42)(0.4)(20))/((336+42)) = 24 g`

Concept: Specific Heat Capacity
  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×