An aluminium piece of mass 50 ,g initially at | vedclass

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

Question

(C) According to the principle of calorimetry,heat lost by the aluminium piece is equal to the heat gained by the water.Let $m_a = 50 \,g = 0.05 \,kg$

Vedclass · Accepted Answer

$31.5$

Vedclass · Answer

(C) According to the principle of calorimetry,heat lost by the aluminium piece is equal to the heat gained by the water.Let $m_a = 50 \,g = 0.05 \,kg$ be the mass of aluminium,$s_a = 900 \,J \,kg^{-1} K^{-1}$ be its specific heat,and $\Delta T_a = (300^{\circ} C - 160^{\circ} C) = 140^{\circ} C$ be the change in temperature.Let $m_w = 1 \,kg$ be the mass of water,$s_w = 4200 \,J \,kg^{-1} K^{-1}$ be its specific heat,and $\Delta T_w = (T - 30^{\circ} C)$ be the change in temperature of water.Heat lost by aluminium = $m_a s_a \Delta T_a = 0.05 	imes 900 	imes 140 = 6300 \,J$.Heat gained by water = $m_w s_w \Delta T_w = 1 	imes 4200 	imes (T - 30) = 4200(T - 30)$.Equating the two: $6300 = 4200(T - 30)$.$T - 30 = \frac{6300}{4200} = 1.5$.$T = 30 + 1.5 = 31.5^{\circ} C$.Thus,the final temperature of the water is $31.5^{\circ} C$.

Similar Questions

When $0.15 \; kg$ of ice at $0^{\circ} C$ is mixed with $0.30 \; kg$ of water at $50^{\circ} C$ in a container,the resulting temperature is $6.7^{\circ} C$. Calculate the latent heat of fusion of ice. (Given: $s_{\text{water}} = 4186 \; J \; kg^{-1} \; K^{-1}$)

$540 \ g$ of ice at $0 \ ^\circ C$ is mixed with $540 \ g$ of water at $80 \ ^\circ C$. The final temperature of the mixture is

$200 \,g$ of ice at $-20^{\circ} C$ is mixed with $500 \,g$ of water at $20^{\circ} C$ in an insulating vessel. The final mass of water in the vessel is ........... $g$ (specific heat of ice $= 0.5 \,cal \,g^{-1} {^{\circ}C}^{-1}$,latent heat of fusion of ice $= 80 \,cal \,g^{-1}$).

In a calorimeter of water equivalent $20 \,g$,water of mass $1.1 \,kg$ is taken at $288 \,K$ temperature. If steam at temperature $373 \,K$ is passed through it and the temperature of the water increases by $6.5^{\circ} C$,then the mass of steam condensed is ............ $g$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module