Briefly explain why it is more accurate to use the slope of the plot to determine the density than it is to use the data from a single determination . ... when using the slope you are given more of an average, which will give you a more accurate answer.
What is the advantage to determining density from the slope of the graph rather than from the mass of only one volume of liquid?
Comparing Density
Since slope is equal to density, simply glancing at a mass versus volume graph can sometimes help you identify which of the two substances has a greater density . A steeper line indicates a greater slope and thus a greater density.
How does density relate to slope?
The average density values are equal to that of the slope because they should be the same. Density is mass/volume or is the rise over run or y/x. The slope represents density. 2.
What is the relation between the slope of the graph and the density of copper?
Because density equals mass divided by volume , the slope will give you the density of copper.
What does the slope tell you about the liquid?
SLOPE REPRESENTS THE DENSITY OF THE SUBSTANCE !
Which method of determining density is more accurate?
Archimedes’s principle method is more accurate in the determination of the density. According to this method, the buoyant force that is there on the object is equal to the weight of the fluid that it displaces.
Is there a relationship between mass and volume?
We can say that the volume of the object is directly proportional to its mass . As the volume increases the mass of the object increases in direct proportion.
What would happen to the slope if you increase the mass of the water?
Since water is heavier than air, this increases the weight of the soil. Weight is force, and force is stress divided by area , so the stress increases and this can lead to slope instability. Water has the ability to change the angle of repose (the slope angle which is the stable angle for the slope).
Is density directly proportional to weight?
Note that density is directly proportional to the mass (or weight) and indirectly proportional to the volume: If volume stays the same as mass increases, the density will increase by the same factor. If volume stays the same as mass decreases, the density will decrease by the same factor.
What does the slope represent?
The slope of a line is the steepness of the line . There are many ways to think about slope. Slope is the rise over the run, the change in ‘y’ over the change in ‘x’, or the gradient of a line. Check out this tutorial to learn about slope!
What is the difference between density and volume?
Introduction: Volume – How much space an object or substance takes up. ... Density – How much space an object or substance takes up (its volume) in relation to the amount of matter in that object or substance (its mass ). The amount of mass per unit of volume.
How do I find the slope of the line?
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 .
How do you calculate density?
The formula for density is d = M/V , where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centimetre.
How do you interpret a slope in context?
Interpreting the slope of a regression line
The slope is interpreted in algebra as rise over run . If, for example, the slope is 2, you can write this as 2/1 and say that as you move along the line, as the value of the X variable increases by 1, the value of the Y variable increases by 2.
What’s the physical meaning of slope?
Slope is the ‘steepness’ of the line , also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
What quantity does the slope of the line represent?
On a grpah of x versus time, what quantity does the slope represent? Just like in class, this represents the velocity . The slope is defined as a change in position (rise) over the change in time (run). And this is the definition of the velocity.
