Ice at $0^o C$ is added to $200 \,\,g$ of water initially at $70^o C$ in a vacuum flask. When $50\,\, g$ of ice has been added and has all melted the temperature of the flask and contents is $40^o C$. When a further $80\,\,g$ of ice has been added and has all metled, the temperature of the whole is $10^o C$. Calculate the specific latent heat of fusion of ice.[Take $S_w =1\,\, cal /gm ^o C$.]

  • A

    $3.8 ×10^5\,\, J/ kg$

  • B

    $1.2 ×10^5 \,\,J/ kg$

  • C

    $2.4 ×10^5 \,\,J/ kg$

  • D

    $3.0 ×10^5 \,\,J/ kg$

Similar Questions

$10\, gm$ of ice at $-20°C$ is dropped into a calorimeter containing $10\, gm$ of water at $10°C;$ the specific heat of water is twice that of ice. When equilibrium is reached, the calorimeter will contain

$0.1\,m^3$ of water at $80\,^oC$ is mixed with $0.3\,m^3$ of water at $60\,^oC$. The final temperature of the mixture is ........ $^oC$

$1\,\, kg$ of ice at $-10^o C$ is mixed with $4.4\,\, kg$ of water at $30^o C$. The final temperature of mixture is ........$^oC$ (specific heat of ice is $2100\,\,J/kg/k$)

Steam is passed into $22\, gm$ of water at $20°C.$ The mass of water that will be present when the water acquires a temperature of $90°C$ ........ $gm$ (Latent heat of steam is $540\, cal/gm)$ is

A bullet of mass $10 \,g$ moving with a speed of $20 \,m / s$ hits an ice block of mass $990 \,g$ kept on a frictionless floor and gets stuck in it. How much ice will melt if $50 \%$ of the lost KE goes to ice is .......... $g$ (initial temperature of the ice block and bullet $=0^{\circ} C$ )