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Please provide detailed step by step solution, I truly appreciate your help, tha

ID: 1497301 • Letter: P

Question

Please provide detailed step by step solution, I truly appreciate your help, thank you!
A well-insulated styrofoam bucket contains 141 g of ice at 0 °C. If 21 g of steam at 100 °C is injected into the bucket, what is the final equilibrium temperature of the system?(cwater=4186 J/kg.°C, Lf=3.35 × 105 J/kg, Lv=2.26 × 106 J/kg)
Please provide detailed step by step solution, I truly appreciate your help, thank you!
A well-insulated styrofoam bucket contains 141 g of ice at 0 °C. If 21 g of steam at 100 °C is injected into the bucket, what is the final equilibrium temperature of the system?(cwater=4186 J/kg.°C, Lf=3.35 × 105 J/kg, Lv=2.26 × 106 J/kg)

A well-insulated styrofoam bucket contains 141 g of ice at 0 °C. If 21 g of steam at 100 °C is injected into the bucket, what is the final equilibrium temperature of the system?(cwater=4186 J/kg.°C, Lf=3.35 × 105 J/kg, Lv=2.26 × 106 J/kg)

Explanation / Answer

et T be the equilibrium temperature

So For ice to reach at that temperature energy required = 0.141*3.35*10^5 j + 0.141*4186*T

for steam to reach at T energy required = 0.021*2.26*10^6 + 0.021*4186*(100-T)

since both are equal. So

0.141*3.35*10^5 + 0.141*4186*T = 0.021*2.26*10^6 + 0.021*4186*(100-T)

=> (590.226 + 87.906)T = 47460 + 8790.6 - 47235 = 9015.6

=> T = 9015.6/(590.226 + 87.906) = 13.294 degree Answer

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