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## Homework Statement

## Homework Equations

[tex]Q = m c \Delta T \\

Q = m L_v \\

Q_{in} = Q_{out}[/tex]

## The Attempt at a Solution

[tex]m_s c_s (100 - 8) + m_s L_v = m_s c_s (100 - T) + m_m c_s (T) \\

5778.06 + 33900 = 5778.06 - 62.805 T + 418.7 T \\

33900 = 355.895 T \\

∴ T = 95.25°C

[/tex]

Answer should be 90. This particular working is using 8°C as a base but I've with absolute temperatures and still got the same answer so I'm guessing my logic is flawed?

Thanks