The amount of heat required in converting 1 gram ice at _10 degree into steam at 100degree celsius will be.
Answers
amount of heat required = 3.0334 kJ
mass of ice , m = 1g
temperature of ice , Ti = -10°C
heat required to increase the temperature of ice upto 0°C , h1 = ms∆T
= 1g × 0.5cal/g.°C × {0°C -(-10°C)}
= 1g × 0.5 × 10
= 5 cal
heat required to melt ice of mass 1g, h2 = ml_f
= 1g × 80 cal/g
= 80 cal
now increase the temperature of water to 100°C , h3 = ms'∆T'
= 1g × 1 cal/g.°C × 100°C
= 100 cal
heat required to convert water into steam, h4 = ml_v
= 1g × 540 cal/g
= 540 cal
so, total heat required = h1 + h2 + h3 + h4
= 5cal + 80cal + 100 cal + 540 cal
= 725 cal
we know, 1Cal = 4.184 Joule
so, heat = 725 × 4.184 Joule
= 3033.4 Joule
= 3.0334 kJ
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mass of ice , m = 1g
temperature of ice , Ti = -10°C
heat required to increase the temperature of ice upto 0°C , h1 = ms∆T
= 1g × 0.5cal/g.°C × {0°C -(-10°C)}
= 1g × 0.5 × 10
= 5 cal
heat required to melt ice of mass 1g, h2 = ml_f
= 1g × 80 cal/g
= 80 cal
now increase the temperature of water to 100°C , h3 = ms'∆T'
= 1g × 1 cal/g.°C × 100°C
= 100 cal
heat required to convert water into steam, h4 = ml_v
= 1g × 540 cal/g
= 540 cal
so, total heat required = h1 + h2 + h3 + h4
= 5cal + 80cal + 100 cal + 540 cal
= 725 cal
we know, 1Cal = 4.184 Joule
so, heat = 725 × 4.184 Joule
= 3033.4 Joule
= 3.0334 kJ