- #1

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## Homework Statement

Find m

_{i}, the initial mass of ice.

T

_{i}= -20

c

_{i}= 2093Jkg

^{-1}K

^{-1}

T

_{s}= +35

m

_{s}= 2kg

c

_{s}= 837.4Jkg

^{-1}K

^{-1}

c

_{w}= 4187Jkg

^{-1}K

^{-1}

l

_{f}= 3.35x10

^{5}Jkg

_{-1}

S = solid

W = water

I = ice

l

_{f}= latent heat of fusion of ice / water

## Homework Equations

Q=mc[tex]\Delta[/tex]T

Q=C[tex]\Delta[/tex]T

Q=ml

## The Attempt at a Solution

__For the Solid__

Q

_{s}= (2)(837.4)(10-35)

Q

_{s}= -4.187x10

^{4}J

__For the Water / Ice__

Q

_{i}= m

_{i}x(4.186x10

^{4})

Q = m

_{i}x(3.35x10

^{5})

Q

_{w}= m

_{i}x(4.187x10

^{4})

I don't know where to go from here, I have seen the markscheme however and I am aware that the answer is:

__m__

_{i}= 0.100kg