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What are the characteristics of a curved relationship and how does it differ from a linear relationship?
A curved relationship is characterized by a non-linear pattern where the relationship between two variables does not follow a straight line. This means that as one variable changes, the other variable does not change at a constant rate. In contrast, a linear relationship is characterized by a straight line where the relationship between two variables changes at a constant rate. The main difference between a curved and linear relationship is the shape of the graph that represents the relationship between the variables.
What is the constant rate of change in y with respect to the constant change in x?
A linear relationship.
Is the rate constant dependent on temperature?
Yes, the rate constant of a reaction is typically dependent on temperature. As temperature increases, the rate constant usually increases as well. This relationship is described by the Arrhenius equation, which shows how the rate constant changes with temperature.
What does constant of proportionality represent?
The constant of proportionality is the ration that relates two given values in what is known as a proportinal relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant variation, or even the rate of change.
What is the relationship between unit rates slopes and constant rate of change?
Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.
What is the relationship between two ratios with a constant rate or ratio?
The answer is "proprtional".
What is the relationship between the rate constant (ka) and the equilibrium constant (kb) in a chemical reaction?
The rate constant (ka) and the equilibrium constant (kb) in a chemical reaction are related by the equation: ka kb / (1 - kb). This equation shows that the rate constant is inversely proportional to the equilibrium constant.
What is the relationship between flow rate and pipe size?
At constant pressure and constant fluid density, larger pipe results in larger flow rate.
What is the simplified proportional relationship called?
A proportional relationship between two quantities is one in which the two quantities called the unit rate, the rate of change, or the constant of proportionality.
What is the relationship between the shear g and the shear rate?
Viscosity is constant to the flow of the fluid.
How can you use the unit rate or constant of proportionality for a relationship represent in a graph?
The unit rate or constant of proportionality can be used to analyze a linear graph that represents a proportional relationship by identifying the slope of the line. This slope indicates how much one variable changes in relation to the other, allowing you to express this relationship as a constant ratio. By determining the unit rate, you can easily predict values for one variable based on the other, providing a clear understanding of the relationship depicted in the graph.
What is the difference of directly proportional and inverse proportional?
In a directly proportional relationship, as one variable increases, the other variable also increases at a constant rate. In an inverse proportional relationship, as one variable increases, the other variable decreases at a constant rate.
