40 3.2 kg of ice at -100
of ice at -10°C just melts with m mass of
at 100°C, then m is equal to
(1) 800g
(2) 625 g
(4) 325 g
(3) 425g
Answers
mass of steam should be 425 g .
3.2 kg of ice at -10°C just melts with m mass of steam at 100°C, then m is equal to...
mass of ice , m = 3.2kg = 3200g
initial temperature, Ti = -10°C
final temperature , Tf = 0°C
heat required to increase the temperature of ice, H1= ms∆T
= 3200g × 0.5 cal/g.°C × (0° -(-10°c))
= 3200 × 0.5 × 10
= 16000 cal = 16Kcal
and heat required to melt the ice, H2 = mLf
= 3200g × 80 cal/g
= 3200 × 80 cal
= 256000 cal = 256 Kcal
now, total hear required = 256 + 16 = 272Kcal
from calorimetry ,
heat gained by ice = heat lost by steam
or, 272Kcal = m Lv + ms∆T
or, 272Kcal = m(540 + 1 × 100) cal
or, 272000 cal = m × 640
or, m = 425g
hence, mass of steam should be 425 g
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