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Homework Statement
55. Solid A, with mass M, is at its melting point TA. It is placed in thermal contact with solid B, with heat capacity CB and initially at temperature TB (TB > TA). The combination is thermally isolated. A has latent heat of fusion L and when it has melted has heat capacity CA. If A completely melts the final temperature of both A and B is:
A. (CATA + CBTB − ML)/(CA + CB)
B. (CATA − CBTB + ML)/(CA + CB)
C. (CATA − CBTB − ML)/(CA + CB)
D. (CATA + CBTB + ML)/(CA − CB)
E. (CATA + CBTB + ML)/(CA − CB)
correct answer is A ?
Homework Equations
Q=mL+mCdeltaT
The Attempt at a Solution
in A Q1=ML+MCATfinal-MCATA
in B Q=mCBTfinal-mCBTB
-Q1=Q
-ML-MCATfinal+MCATA=mCBTfinal-mCBTB
-ML+MCATA+mCNTB=MCATf+mCBTf
Tf=(MCATA+mCBTB-ML)/(MCA+mCB)
how they get rid of the m in the above equation?
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