Question

Ice is dropped into a lake whose temperature is ${13}^{0}C$. A total of 32 kJ of heat flows into the ice as it melts. By how much has the entropy of the original lake water decreased?

• A. $2.46\frac{kJ}{K}$
• B. $3.46\frac{kJ}{K}$
• C. $2.0\frac{kJ}{K}$
• D. None of the above

Answer 1

The correct option is A $2.46\frac{kJ}{K}$

the entropy formula is $S=\frac{q}{\delta T}$

$\delta T=13-0=13K$

$0^{O}C$ is freezing point of water

Ice is dropped into a lake whose temperature is${13}^{0}C$

putting values in formula

$S=\frac{32}{13}=2.46\frac{kJ}{K}$