Relationship of ds in terms of T and v for an ideal gas law

This text discusses the relationship of ds in terms of T and v for an ideal gas law. The second term in the equation can be solved by knowing experimental p and T values at constant v and thereby taking derivative of the fitted function. A suitable pressure explicit equation of state can also be used after taking derivative with respect to T at constant v.

Questions

• How can be this equation simplified for an ideal gas law?
• What is the difference between a pressure explicit equation of state and an ideal gas law?

Answers

• The equation can be simplified for an ideal gas law by assuming that the pressure is directly proportional to the temperature. This means that ds = R * ln(T) / v.
• A pressure explicit equation of state is a mathematical equation that describes the relationship between pressure, volume, and temperature for a particular gas. An ideal gas law is a simplified version of a pressure explicit equation of state that assumes that the gas molecules have no volume and do not interact with each other.