The specific heat of alcohol is about half th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $m$ be the mass of both alcohol and water. Let $S_A$ and $S_W$ be the specific heats of alcohol and water,respectively. We are given $S_A \app

Vedclass · Accepted Answer

Closer to $T_W$ than $T_A$

Vedclass · Answer

(B) Let $m$ be the mass of both alcohol and water. Let $S_A$ and $S_W$ be the specific heats of alcohol and water,respectively. We are given $S_A \approx 0.5 S_W$,which implies $S_W > S_A$.When mixed,the heat lost by the hotter substance equals the heat gained by the colder substance: $m S_A (T_f - T_A) = m S_W (T_W - T_f)$ (assuming $T_W > T_A$).Simplifying,$S_A T_f - S_A T_A = S_W T_W - S_W T_f$.$T_f (S_A + S_W) = S_W T_W + S_A T_A$.$T_f = \frac{S_W T_W + S_A T_A}{S_W + S_A}$.Since $S_W > S_A$,the final temperature $T_f$ will be weighted more towards the temperature of the substance with the higher specific heat,which is water $(T_W)$.

Similar Questions

$5\, g$ of ice at $0^\circ C$ is dropped in a beaker containing $20\, g$ of water at $40^\circ C$. The final temperature will be........ $^\circ C$.

The thermal capacity of a body is $80 \, cal/^{\circ}C$. What is its water equivalent?

$A$ liquid of mass $2m$ and specific heat $C$ is heated to a temperature $4T$. Another liquid of mass $m$ and specific heat $2C$ is heated to a temperature $T$. If these two liquids are mixed,the resulting temperature of the mixture is:

Of two masses of $5 \, kg$ each falling from a height of $10 \, m$,by which $2 \, kg$ of water is stirred. The rise in temperature of the water will be ........ $^\circ C$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module