SATHEE: Heat and Thermodynamics 1 Question 23

Heat and Thermodynamics 1 Question 23

23. In an insulated vessel, $0.05 k g$ steam at $373 K$ and $0.45 k g$ of ice at $253 K$ are mixed. Find the final temperature of the mixture (in kelvin).

$(2006, 6 M)$

$Given, \begin{aligned} L_{fusion} & = 80 c a l / g = 336 J / g, \\ L_{vaporisation} & = 540 c a l / g = 2268 J / g, \\ S_{ice} & = 2100 J / k g, K = 0.5 c a l / g - K \\ and S_{water} & = 4200 J / k g, K = 1 c a l / g - K . \end{aligned}$

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Solution:

$0.05 k g$ steam at $373 K \overset{Q_{1}}{\to} 0.05 k g$ water at $373 K$ $0.05 k g$ water at $373 K \overset{Q_{2}}{\to} 0.05 k g$ water at $273 K$ $0.45 k g$ ice at $253 K \overset{Q_{3}}{\to} 0.45 k g$ ice at $273 K$

$0.45 k g$ ice at $273 K \overset{Q_{4}}{\to} 0.45 k g$ water at $273 K$

$Q_{1} = (50) (540) = 27000 c a l = 27 k c a l$

$Q_{2} = (50) (1) (100) = 5000 c a l = 5 k c a l$

$Q_{3} = (450) (0.5) (20) = 4500 c a l = 4.5 k c a l$

$Q_{4} = (450) (80) = 36000 c a l = 36 k c a l$

Now, since $Q_{1} + Q_{2} > Q_{3}$ but $Q_{1} + Q_{2} < Q_{3} + Q_{4}$ ice will come to $273 K$ from $253 K$ , but whole ice will not melt. Therefore, temperature of the mixture is $273 K$ .

Heat and Thermodynamics 1 Question 23

23. In an insulated vessel, $0.05 k g$ steam at $373 K$ and $0.45 k g$ of ice at $253 K$ are mixed. Find the final temperature of the mixture (in kelvin).

Solution:

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Heat and Thermodynamics 1 Question 23

23. In an insulated vessel, 0.05kg steam at 373K and 0.45kg of ice at 253K are mixed. Find the final temperature of the mixture (in kelvin).

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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23. In an insulated vessel, $0.05 k g$ steam at $373 K$ and $0.45 k g$ of ice at $253 K$ are mixed. Find the final temperature of the mixture (in kelvin).