Calculate the heat required to convert 3 ; kg | vedclass

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

Question

(A) The total heat $Q$ required is the sum of heat for four processes:$1$. Heating ice from $-12 \; ^{\circ}C$ to $0 \; ^{\circ}C$: $Q_{1} = m \cdot s

Vedclass · Accepted Answer

$9.1 	imes 10^{6} \; J$

Vedclass · Answer

(A) The total heat $Q$ required is the sum of heat for four processes:$1$. Heating ice from $-12 \; ^{\circ}C$ to $0 \; ^{\circ}C$: $Q_{1} = m \cdot s_{	ext{ice}} \cdot \Delta T_{1} = 3 \; kg 	imes 2100 \; J \; kg^{-1} \; K^{-1} 	imes (0 - (-12)) \; K = 75600 \; J$.$2$. Melting ice at $0 \; ^{\circ}C$ to water at $0 \; ^{\circ}C$: $Q_{2} = m \cdot L_{	ext{fusion}} = 3 \; kg 	imes 3.35 	imes 10^{5} \; J \; kg^{-1} = 1005000 \; J$.$3$. Heating water from $0 \; ^{\circ}C$ to $100 \; ^{\circ}C$: $Q_{3} = m \cdot s_{	ext{water}} \cdot \Delta T_{2} = 3 \; kg 	imes 4186 \; J \; kg^{-1} \; K^{-1} 	imes (100 - 0) \; K = 1255800 \; J$.$4$. Converting water at $100 \; ^{\circ}C$ to steam at $100 \; ^{\circ}C$: $Q_{4} = m \cdot L_{	ext{steam}} = 3 \; kg 	imes 2.256 	imes 10^{6} \; J \; kg^{-1} = 6768000 \; J$.Total heat $Q = Q_{1} + Q_{2} + Q_{3} + Q_{4} = 75600 + 1005000 + 1255800 + 6768000 = 9104400 \; J \approx 9.1 	imes 10^{6} \; J$.

List-$I$	List-$II$
$(A)$ Heat capacity of body	$(I)$ $J kg^{-1}$
$(B)$ Specific heat capacity of body	$(II)$ $J K^{-1}$
$(C)$ Latent heat	$(III)$ $J kg^{-1} K^{-1}$
$(D)$ Thermal conductivity	$(IV)$ $J m^{-1} K^{-1} s^{-1}$

Similar Questions

The $e.m.f.$ in a thermoelectric circuit with one junction at $0\,^\circ C$ and the other at $t\,^\circ C$ is given by $E = At - Bt^2$. The neutral temperature is then

$A$ metal sphere immersed in water weighs $w_1$ at $0^{\circ} C$ and $w_2$ at $50^{\circ} C$. The coefficient of cubical expansion of the metal is less than that of water. Then

Give one example each for solid,liquid,and gas showing expansion with an increase in temperature and contraction with a decrease in temperature.

$A$ waterfall is $84 \ m$ high. If half of the potential energy of the falling water gets converted to heat,the rise in temperature of the water will be: (in $^\circ C$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module