Question

When m grams of water at $10{}^{o}C$ is mixed with m grams of ice at $0{}^{o}C$, which of the following statements are false?

• A. The temperature of the system will be given by the equation,$m\times 8+m\times 1\times (T-0)=m\times 1\times (10-T)$
• B. Whole of ice will melt and temperature will be more than $0{}^{o}C$ but lesser than $10{}^{o}C$
• C. Whole of ice will melt and temperature will be $0{}^{o}C$
• D. Whole of ice will not melt and temperature will be $0{}^{o}C$

Answer 1

Answer: (A), (B), (C)

The temperature of the system will be given by the equation,$m\times 8+m\times 1\times (T-0)=m\times 1\times (10-T)$
Whole of ice will melt and temperature will be more than $0{}^{o}C$ but lesser than $10{}^{o}C$
Whole of ice will melt and temperature will be $0{}^{o}C$

The temperature of the system will be given by the equation,
$(m\times 80)+(m\times 1\times (T-0)=m\times 1\times (10-T)$
$T=-ve$, So, the whole of ice will not melt and temperature will be $0{}^{o}C$

and since all ice doesn't melt, the equation used is also invalid.