# Can a first order reaction have a positive slope?

## Can a first order reaction have a positive slope?

For a first order reaction to obtain a positive slope, a graph is plotted between −loge[A]vs. t.

Can a first order reaction have a negative slope?

To test if it the reaction is a first-order reaction, plot the natural logarithm of a reactant concentration versus time and see whether the graph is linear. If the graph is linear and has a negative slope, the reaction must be a first-order reaction.

What is the graph of first order reaction?

Graphical Representation of a First-Order Reaction For first-order reactions, the equation ln[A] = -kt + ln[A]0 is similar to that of a straight line (y = mx + c) with slope -k. This line can be graphically plotted as follows. Thus, the graph for ln[A] v/s t for a first-order reaction is a straight line with slope -k.

### How do you find the order of a reaction with a slope?

If you get a straight line with a negative slope, then that would be first order. For second order, if you graph the inverse of the concentration A versus time, you get a positive straight line with a positive slope, then you know it’s second order.

Is K the slope?

Other graphs are curved for a first order reaction. For a second order reaction, as shown in the following figure, the plot of 1/[A] versus time is a straight line with k = slope of the line.

How does K relate to slope?

Since k, the constant, is always positive, we must change the sign in front of k to denote the slope. So for zero order reactions, if we plot [A] vs time, the slope is (-), meaning that slope = (-)k. For first order reactions, if plot ln[A] vs time, the slope is also (-), so we set that equal to (-)k.

## Which of the following is correct for a first order reaction?

t1/2∝a1.

How do you find a slope?

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Which equation is correct for first order reaction?

t1/2∝C−1.

### How do you find Kobs on a graph?

One can fit the data with a graphing program or estimate kobs from the half-time of the reaction (time for reaction to reach half of maximum change) and the equation kobs = ln 2/half-time.

What is a third order reaction?

: a chemical reaction in which the rate of reaction is proportional to the concentration of each of three reacting molecules — compare order of a reaction.

What is a zeroth order reaction?

Definition of zero-order reaction : a chemical reaction in which the rate of reaction is constant and independent of the concentration of the reacting substances — compare order of a reaction.

## What is the formula for first order reaction?

First order reaction is A → product. Rate law can be expressed as, Rate = k [A] 1. Where, k is the first order rate constant. Integrate the above equation (I) between the limits of time t = 0 and time equal to t, while the concentration varies from initial concentration [A 0] to [A] at the later time. This equation (2) is in natural logarithm.

What are the units of first order reaction?

[A]is the current concentration of the first-order reactant

• [A]0 is the initial concentration of the first-order reactant
• t is the time elapsed since the reaction began
• k is the rate constant of the first-order reaction
• e is Euler’s number (which is the base of the natural logarithm)
• What is the rate constant for first order reaction?

The rate constant is a proportionality factor in the rate law of chemical kinetics that relates the molar concentration of reactants to reaction rate. It is also known as the reaction rate constant or reaction rate coefficient and is indicated in an equation by the letter k.

### How do you graph a first order reaction?

Initial Rates Method. First,the natural logarithm form of the power-law expression is obtained.

• Integral Method. The order of reaction obtained from the initial rates method is usually verified using this method.
• Differential Method.