A 41 g Ice cube at -21 C is dropped into a container of water at 0 C. How much water freezes onto the ice? The specific heat of ice is .5 cal/g C and it's heat of fusion of is 80 cal/g.

Respuesta :

Answer:

The right solution is "5.38 grams".

Explanation:

The given values are:

Heat of fusion,

L = 80 cal/g

Mass of ice cube,

[tex]m_{ice} = 41 \ g[/tex]

Specific heat of ice,

[tex]C_{ice}=0.5 \ cal/g[/tex]

Let,

Gram of water freezes will be "m".

⇒  [tex]mL=m_{ice} C_{ice} (0+21)[/tex]

Or,

⇒     [tex]m=\frac{m_{ice} C_{ice} (0+21)}{L}[/tex]

On substituting the values, we get

⇒         [tex]=\frac{41\times 0.5\times 21}{80}[/tex]

⇒         [tex]=\frac{430.5}{80}[/tex]

⇒         [tex]=5.38 \ grams[/tex]