Answer to Question #180320 in Molecular Physics | Thermodynamics for Kurt

Question #180320

To raise the temperature of 5 kg of water from 20 0C to 30 0C, a 2-kg iron bar is heated and then dropped into the water. What should the temperature of the bar be


1
Expert's answer
2021-04-13T10:54:46-0400

Heat gained = Heat loss

mwCwΔθw=mbCbΔθbm _{w}C_{w}Δθ_{w} = m _{b}C_{b}Δθ_{b}

where

m = mass ( kg ); mass of water = 5kg, mass of iron bar = 2kg

C = Specific heat capacity; SHC of water = 4182 J/kg°C, SHC of Iron = 462 J/kg°C

Δθ = Temperature change; temperature change in water = 10°C, temperature change in iron bar = (x30)(x- 30)°C


5×4182×10=2×462×(x30)5× 4182× 10 = 2 × 462× (x- 30)


x30=209100924x - 30 = \frac{209100}{924}


x=256.3°C\therefore x = 256.3 °C


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