Cans of baked beans are heated from 41 °C to 118 °C by steam condensing at a tem

Question

Cans of baked beans are heated from 41 °C to 118 °C by steam condensing at a temperature of 121 °C (at which temperature the latent heat of condensation is 2199kJ.kg-1. The steam condensate runs off the cans at 121 °C. After heating, the cans are cooled to 35 °C by water which starts at 16 °C and is heated to 35 °C. The specific heat capacity of the beans is 3600 J.kg-1 °C-1. How much steam and how much water is required to process 1 tonne of baked beans. Note that 110kg of steel (cp=500 J.kg-1 °C-1.) undergoes the same temperature change as the baked beans.

Explanation / Answer

1 ton = 907.185 kg
a) Q beans + Q steel+ Q steam = 0

m c dT +mc dT - mL=0

907.185*3600*(118-41) + 110*500*(118-41) - m*2199E3=0

m steam= 116.28 kg

b) now Q beans + Q steel + Q water = 0


907.185*3600*(35-118) + 110*500*(35-118) + m*4186*(35-16)=0

mwater = 3465.6 kg

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