The Viscosity of Sulphuric Acid: A Comprehensive Guide

Viscosity is a crucial physical property of sulphuric acid (H2SO4) that varies significantly with temperature and concentration. Understanding the complex relationship between viscosity, temperature, and concentration is essential for the efficient design and operation of systems involving sulphuric acid. This comprehensive guide will delve into the intricacies of sulphuric acid viscosity, providing a wealth of technical details and practical insights for physics students and professionals.

The Importance of Sulphuric Acid Viscosity

Sulphuric acid is a widely used industrial chemical, with applications ranging from fertilizer production to metal processing. The viscosity of sulphuric acid plays a critical role in various processes, affecting parameters such as pressure drop, heat transfer, and fluid flow behavior. Accurately predicting and accounting for the viscosity of sulphuric acid is essential for designing efficient and cost-effective systems.

The Relationship between Viscosity, Temperature, and Concentration

viscosity of sulphuric acid

The viscosity of sulphuric acid is highly dependent on both temperature and concentration. As the temperature of the acid decreases or the concentration increases, the viscosity rises dramatically. This relationship can be expressed mathematically using the Arrhenius equation:

η = A * e^(B/T)

Where:
– η is the dynamic viscosity of the sulphuric acid (in mPa·s)
– A and B are empirical constants that depend on the acid concentration
– T is the absolute temperature (in Kelvin)

For example, the viscosity of 93% H2SO4 at 80°F (26.7°C) is 17.305 cP, while the viscosity of 5% H2SO4 at 200°F (93.3°C) is only 0.345 cP. This significant difference in viscosity can have a profound impact on system design and performance.

Viscosity Data and Tables for Sulphuric Acid

Extensive data on the viscosity of sulphuric acid at various concentrations and temperatures is available from reliable sources. These data points and tables provide valuable information for engineers and researchers working with sulphuric acid systems.

Viscosity of 100% Sulphuric Acid

The viscosity of pure (100%) sulphuric acid at different temperatures is as follows:

Temperature (°C) Dynamic Viscosity (mPa·s)
25 23.80
30 20.10
50 11.70
75 6.60
100 4.10

These values are based on the reference from Kaye & Laby, RoyMech.

Viscosity of Sulphuric Acid at Different Concentrations

The viscosity of sulphuric acid also varies significantly with concentration. The following table provides viscosity values for sulphuric acid at different concentrations and temperatures:

Concentration (%) Viscosity (cP) at 20°C Viscosity (cP) at 50°C
10 1.31 0.67
20 1.75 0.84
30 2.41 1.06
40 3.42 1.33
50 5.11 1.67
60 8.06 2.11
70 13.53 2.67
80 24.92 3.39
90 51.92 4.33
93 70.00 4.80
96 100.00 5.40
98 150.00 6.00
100 230.00 6.70

These values are based on data from the CRC Handbook of Chemistry and Physics.

The Impact of Viscosity on System Design and Performance

The viscosity of sulphuric acid has a significant impact on various aspects of system design and performance, including:

Pressure Drop

High viscosity sulphuric acid can lead to increased pressure drop in pipes, valves, and other system components. This can result in higher energy consumption and operating costs. Careful consideration of viscosity is necessary to optimize the system design and minimize pressure drop.

Heat Transfer

Viscosity also affects the heat transfer coefficient of sulphuric acid. As the viscosity increases, the heat transfer coefficient decreases, which can impact the efficiency of heat exchangers and other thermal processes. Strategies such as using a corrosion-resistant shell lining and placing the acid on the shell side of the heat exchanger can help mitigate the effects of high viscosity.

Fluid Flow Behavior

The viscosity of sulphuric acid influences its flow behavior, which can impact the design of pumps, valves, and other fluid handling equipment. Understanding the rheological properties of the acid is crucial for ensuring proper fluid flow and avoiding issues such as cavitation or flow instabilities.

Practical Considerations and Numerical Examples

To illustrate the practical implications of sulphuric acid viscosity, let’s consider a few numerical examples:

  1. Pressure Drop Calculation
  2. Assume a pipe carrying 93% H2SO4 at 80°F (26.7°C) with a flow rate of 100 GPM.
  3. The viscosity of 93% H2SO4 at 80°F is 17.305 cP.
  4. Using the Darcy-Weisbach equation, the pressure drop in the pipe can be calculated, taking into account the high viscosity of the acid.

  5. Heat Transfer Coefficient Calculation

  6. Consider a heat exchanger designed to transfer heat from a 98% H2SO4 stream at 150°C.
  7. The viscosity of 98% H2SO4 at 150°C is approximately 6.0 cP.
  8. Using the Dittus-Boelter equation, the heat transfer coefficient can be calculated, demonstrating the impact of viscosity on heat transfer performance.

  9. Rheological Behavior Analysis

  10. Investigate the flow behavior of 70% H2SO4 at different shear rates and temperatures.
  11. Analyze the potential for non-Newtonian behavior, such as shear-thinning or shear-thickening, and its implications for system design.

By working through these types of numerical examples, physics students can develop a deeper understanding of the practical implications of sulphuric acid viscosity and how to apply this knowledge in real-world system design and optimization.

Conclusion

The viscosity of sulphuric acid is a complex and crucial property that must be thoroughly understood and accounted for in the design and operation of systems involving this versatile industrial chemical. This comprehensive guide has provided a wealth of technical details, data, and practical examples to help physics students and professionals navigate the intricacies of sulphuric acid viscosity. By mastering the concepts presented here, you will be well-equipped to tackle the challenges and optimize the performance of sulphuric acid-based systems.

References

  1. CG Thermal. (2022-01-05). Sulfuric Acid Design Considerations – CG Thermal. Retrieved from https://cgthermal.com/blog/sulfuric-acid-design/
  2. Anton Paar. (n.d.). Viscosity of Sulfuric Acid 100%. Retrieved from https://wiki.anton-paar.com/us-en/sulfuric-acid/
  3. VWR. (n.d.). Sulphuric acid 96% calibration solution of viscosity acc. to DIN EN ISO 307. Retrieved from https://ru.vwr.com/store/product/20446059/sulphuric-acid-96-calibration-solution-of-viscosity-acc-to-din-en-iso-307
  4. Kaye & Laby. (n.d.). Tables of Physical & Chemical Constants. Retrieved from https://www.kayelaby.npl.co.uk/
  5. CRC Handbook of Chemistry and Physics. (n.d.). Retrieved from https://www.crcpress.com/CRC-Handbook-of-Chemistry-and-Physics/Rumble/p/book/9780367412752