Unsaturated solutions - more solute could be dissolved at the temperature. The solubility curve indicates the concentration of a saturated solution- the maximum amount of solute that will dissolve at that specific temperature. Values below the curve represent unsaturated solutions - more solute could be dissolved at that temperature. Values above the curve represent supersaturated solutions, a solution which holds more solute that can normally dissolve in that volume of solvent.
The approximate pH of the equivalence point in a titration pH curve is around 7 for a strong acid-strong base titration. This is because at the equivalence point, the moles of acid are equal to the moles of base, resulting in a neutral solution.
The heating curve for glass would show a gradual and steady increase in temperature until it reaches its softening point, where it begins to deform. In contrast, the heating curve for water would show a relatively stable temperature increase until it reaches its boiling point, at which point the temperature remains constant until all the water has evaporated.
An ideal recrystallization solvent should have high solubility for the compound at high temperatures to dissolve the impurities and low solubility at low temperatures to allow the compound to crystallize out. It should also be chemically inert towards the compound, easily evaporated to recover the purified compound, and have a boiling point lower than the melting point of the compound.
You can determine the acid dissociation constant (Ka) from a titration curve by finding the half-equivalence point on the curve where half of the acid has been neutralized. At this point, the concentration of the acid and its conjugate base are equal. By using the Henderson-Hasselbalch equation and the pH at the half-equivalence point, Ka can be calculated.
Recrystallization helps purify a substance by removing impurities that lower the melting point. As a result, the melting point of acetalinide increases to above 116 degrees Celsius after recrystallization due to the higher purity of the compound.
The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)
The solubility of adipic acid in water generally increases with temperature due to the endothermic nature of the dissolution process. The solubility curve typically follows an upward trend as temperature rises until it reaches a maximum solubility point, beyond which further temperature increase may lead to decreased solubility due to changes in dissolution equilibrium. Conducting experimental studies and using thermodynamic models can provide more accurate predictions of the solubility curve over a range of temperatures.
Each point on a market supply curve denotes basically the same thing. Each point on the curve corresponds to the supply of something, but at a specific or given price.
A bell curve reaches its highest point in the middle and is lower on the sides. It can represent standard deviations from the mean.
A point inside a production possibilities curve represents things that can be produced. However, points inside the curve would be less efficient to produce than those points resting directly on the line.
To graph the set of all the solutions to an equation in two variables, means to draw a curve on a plane, such that each solution to the equation is a point on the curve, and each point on the curve is a solution to the equation. The simplest curve is a straight line.
x2 + y2 = r2 Where "x" and "y" represent the co-ordinates of any point on the curve relative to it's center point, and "r" represents it's radius. If you want to specify a curve that goes around a specific point (we'll call it {a, b}), then that can be expressed as: (x - a)2 + (y - b)2 = r2
Marginal cost curve above the average variable cost curve, is the same as the short run supply curve. In perfect competition, MC=Price. It follows that production will be at that point. Hence the supply curve is the same as that part of the MC curve which is above AVC, where the firm can cover its variable cost....this is better than shutting down.
It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.
The derivative at any point in a curve is equal to the slope of the line tangent to the curve at that point. Doing it in terms of the actual expression of the curve, find the derivative of the curve, then plug the x-value of the point into the derivative to find the derivative at that point.
The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.
The slope of the tangent line at the maximum point of the curve is zero. So we say that as a curve point approaches to the maximum point, the slope of the tangent line at that point approaches to zero.