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According to the report(see related link) it is proposed that the heat capacity of a slurry is actually calculated the way you proposed it.

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12y ago

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What is the specific heat of 20% sulphuric acid solution?

The specific heat capacity of a 20% sulfuric acid (H₂SO₄) solution can be estimated based on the specific heat capacities of its components (water and sulfuric acid) and their respective proportions in the solution. Here’s a step-by-step approach to estimate it: **Components in the Solution**: Sulfuric acid (H₂SO₄) Water (H₂O) **Specific Heat Capacities**: The specific heat capacity of water (H₂O) is approximately 4.186 J/g°C. The specific heat capacity of concentrated sulfuric acid (H₂SO₄) is around 1.38 J/g°C. **Calculation Method**: A 20% sulfuric acid solution means that for every 100 g of solution, there are 20 g of sulfuric acid and 80 g of water. **Estimation**: To estimate the specific heat capacity of the solution, you can use a weighted average based on the proportions of water and sulfuric acid: [ \text{Specific heat of solution} = (\text{% of water} \times \text{Specific heat of water}) + (\text{% of sulfuric acid} \times \text{Specific heat of sulfuric acid}) ] Given that 20% of the solution is sulfuric acid and 80% is water: [ \text{Specific heat of 20% sulfuric acid solution} = (0.80 \times 4.186) + (0.20 \times 1.38) ] Calculate the specific heat: [ \text{Specific heat of 20% sulfuric acid solution} = (3.3488) + (0.276) ] [ \text{Specific heat of 20% sulfuric acid solution} \approx 3.624 \text{ J/g°C} ] Therefore, the specific heat capacity of a 20% sulfuric acid solution is approximately **3.624 J/g°C**. This estimation assumes ideal mixing and that the specific heat capacities of water and sulfuric acid are accurate for dilute solutions around this concentration.


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