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Asked in AIPMT 2014 · Latent heat and change of state
Given: m_w=20 g at 10 °C, final temperature 80 °C, s=1 cal g⁻¹ ° C⁻¹, L=540 cal g⁻¹.
Idea: the steam condenses at 100 °C and the water so formed then cools to 80 °C; all of that heat is taken up by the original water.
Heat given by m grams of steam: mL+ms(100-80)=540m+20m=560m
Heat taken by the water: 20×1×(80-10)=1400 cal
560m=1400
m=2.5 g
Mass of water present =20+2.5=22.5 g
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