1 ton of steam. how much steam is vague question. steam can be at different pressures and saturations. At 212°F, 14.7 psia, liquid water has a specific volume of 0.016716 ft3/lbm and steam has a specfic volume of 26.80 3/lbm, which is a volume ratio of ~1603 : 1 of steam:water.
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A ton!
1 ton is about 1000 kg Assuming water is already at 100 C (hot water that just has to boil) it takes 40.7 KJ of energy to convert 1 mole of water to steam 1 cal = 4.184 J 1 mole water = 18 grams 4.5 x 106 cal per what mass of coal?? again I'll assume 1 ton of coal. (1 ton Steam) x (1000 kg/ton) x (1000g/kg) = 1 x 106 grams (1 ton water)x(106grams/ton)x(1mole/18grams)x(40.7x103 J/mole)x(1 cal/4.184J) = E Where E represents the energy to vaporize 1 ton water measured in cal. now divide this answer by the 4.5x106 cal/(ton??) this will give the mass of coal needed assuming no heat loss to the environment.
1 ton