The melting point (or, rarely, liquefaction point) of a substance is the temperature at which it changes state from solid to liquid. At the melting point the solid and liquid phase exist in equilibrium. The melting point of a substance depends on pressure and is usually specified at a standard pressure such as 1 atmosphere or 100 kPa.
When considered as the temperature of the reverse change from liquid to solid, it is referred to as the freezing point or crystallization point. Because of the ability of substances to supercool, the freezing point can easily appear to be below its actual value. When the "characteristic freezing point" of a substance is determined, in fact the actual methodology is almost always "the principle of observing the disappearance rather than the formation of ice, that is, the melting point."
Homework Statement
Is the freezing point always depressed by a solute even if solute-solvent interactions are stronger than solute-solute and solvent-solvent interaction? What about amorphous solids?
2. Relevant knowledge
According to my chemistry teacher's powerpoints, the freezing point is...
Homework Statement
When benzene freezes at 5.5 C its density changes from 0.879 g cm-3 to 0.891 g cm-3. Its enthalpy of fusion is 10.59 kJ mol -1. Estimate freezing point of benzene at 1000 atm
Homework Equations
Solid liquid boundary: p=p*+ΔHfus/ΔV ln(T/T*)
The Attempt at a Solution
From the...
Homework Statement
This is more of a math question but:
There are two particles fixed in place: a particle of charge +8q at the origin and a particle of charge -2q
at x=L. At what point (other than infinitely far away) can a proton be placed so that it is in equilibrium
Homework EquationsThe...
Homework Statement
There is a rectangle in the x-y plane with dimensions H=1, L=2. Find a line or diagonal in the rectangle in which for every point in the shaded area below that line x>y.
Homework EquationsThe Attempt at a Solution
The line has to intersect a point in y=1 in which x>y. This...
Homework Statement
Hi, I don't have a specific problem, I just need to know what to do when summing the moments about a point if there is a moment given at a different point. Do I just add it into the equilibrium equation as if it was about the point I am summing the moments about?
Homework...
In class, we did a lab to determine the boiling point of rubbing alcohol. We used a thiele tube filled with water and place a test tube attached to a thermometer w/rubber band in it. However, we never saw any signs of boiling. We conducted several trials, the temperature went all the way above...
Homework Statement
for M2 , if i take the moment at pont C , then my ans would be (0.3i) x ((125X(3/5) j +125(4/5) k )= 30j +22.5k
Which is not same with the book which use moment about D . why ? Is the value at the triangle at te upper part incorrect (circle part) ?
Homework EquationsThe...
Homework Statement
I'm having problem of finding the point where the line of action intersect with CD , hot to do it ?
Fx = -500cos60 - 250(4/5)
Fy = 300 + 500sin60 + 250(3/5)
FR = 991N
Homework EquationsThe Attempt at a Solution
Homework Statement
I managed to get Fy = 900N , Fx = 200N and FR= 922N , how to get the distance from A is 3.56m ? tetha= arc tan (922/200) = 77.5 degree
Homework EquationsThe Attempt at a Solution
At the outset, I want to explain that this is a problem I came up with myself. It's not actually homework, and I suspect it is deeply conceptually flawed in some manner that I have yet to determine.
1. Two point charges of like polarity, ## q_1 = q_2 = 1C ##, start out separated by distance ##...
I have a solenoid, Length L, number of turns N, ampers I Radius R
I have a Point P(x,y,z) anywhere around said solenoid.
How can I calculate the field strength at point P, note it is OUTSIDE the solenoid, and could be anywhere outside. Assume the origin is the center of the solenoid, let's...
Homework Statement
1. Compute the electric field vector at the position of charge B for the case where q_{A}=4q_{C} and r_{1}=2r_{2}
2. Suppose that all three charge are positive and that q_{A}=4q_{C} . Consider the case where f q_{B} is moved to the right by a distance dr.
Now r_{1} = 2r+dr...
Homework Statement the critical point is the point which the f'(c) = 0 or f'(c) = doesn't exist . How if I'm asked to find the stationary point .
In this question , the critical point is x=0.071 , -14.071, 3 , and -2
So, if i am sked to find the stationary point , it should be only x=0.071 ...
I want to verify whether I am correct .As the title suggests It is about point where potential is zero (point other than infinity)
Note:x is distance of neutral point from charges
Firstly,I would like to ask
Is coordinate system necessarily be there
1) If there are two positive charges for the...
A rod of length L and mass M is rotating with angular velocity w about its center of mass. What is its angular momentum with respect to a rotating point 1/4L from the rod's end? What about a stationary point? Homework Equations
With the respect to the center of mass, angular momentum L = Iw =...
How to find potential ENERGY between two point charges?I know how to find potential difference between two points and I also know how to find potential at any point .
potential difference between two points 1 and 2 is simply ##V1##-##V2##
potential at any point r=V
While source charge is Q...
I understand why an impure solid will have a decreased melting point, however, in my recent organic chemistry lab section I mixed two finely ground pure solids together and observed that the mixture melted at a lower temperature than either pure solid.
I understand this in principle, but...
Homework Statement
the ans given is 95Nm , but i gt 80.9Nm , which part i did wrongly ?
Homework EquationsThe Attempt at a Solution
20(4) -39(5/surd 26(3)) +39(1/surd26)(1) -60(3/5)(1)+60(4/5)(3)
=80.9[/B]
Homework Statement
In this question , I'm asked to find the magnitude of P .
Homework EquationsThe Attempt at a Solution
Resultant moment about O =
-10cos30 (4√3) -10sin 30 (10
+15sin30(2) + 15cos30(4√3)
-10cos30(4√3) -10sin30(4)
-15cos30(4√3) -15sin30(7)
+10cos30(4√3) +10sin30(11)
+P cos...
Find the point on the plane x − y + z = 8 that is closest to the point (1, 3, 6).
This what I have so far
Z = 8-x+y
d = Sqrt ((x-1)2 + (y-3)2 + (z-6)2)
f(x,y,z) = d2 = (x-1)2 + (y-3)2 + (z-6)2
Substitute for z
= (x-1)2 + (y-3)2 + (2-x+y)2
Not sure how to move forward...
All elementary particles, which are not made up by any other particles (electrons, quarks), are said to be zero dimensional and have no size. But why not? Are electrons literally zero dimensional particles with no size?
In 'an introduction to quantum field theory' by peskin, he writes: To analyze the photon one-point function, note that the external photon must be attached to a QED vertex. Neglecting the external photon propagator, this amplitude is therefore:
I really cannot justify this equation. Can...
Homework Statement
i can't understand why when the total moment at B is positive , the object is not sliding ? can someone help to explain ?
Homework EquationsThe Attempt at a Solution
Homework Statement :[/B]
A projectile is given initial velocity 80 m/s ( V0 ) at angle 60° above the horizontal. Find the time it takes to reach to the highest point and find the maximum height. (g = -10 m/s2)
Homework Equations :[/B]
1. y_{final} = y_{initial} + v_{y_{initial}}t + \frac...
Homework Statement
Chain of mass M hangs between 2 walls with its ends at the same height. The chain makes an angle θ with each wall. Find the tension at the lowest point of the chain.
a) By considering the forces on half of the chain.
b) By using the fact that the height of the chain is...
What's the point of the elif statement? Why not just keep the if and else statements and leave it at that? Can't the if statement be replaced with just if? Thanks.
My first homework for electrostatics course I'm taking is to find the vector of electric field of a completely hollow sphere (radius r, surface charge density σ in a point A, by integrating the electric field through the whole sphere. I already figured out the electric field of a ring in a point...
Hi. I have problem simulating this circuit in Multisim:
(LTSpice)
Here is scheme from Multisim:
When I run transient analysis, I got this:
------ Checking SPICE netlist for Design3 - Saturday, September 26, 2015, 10:58:03 AM ------
======= SPICE Netlist check completed, 0 error(s), 0...
Homework Statement
Why the moment isn't=15* 3Nm? Since we are taking moment about point O...it's 3m away from O
Homework EquationsThe Attempt at a Solution
Homework Statement
A ring of radius R lies in the x-y plane with the center at the coordinate origin. The ring is uniformly charged with with a uniform charge density +λ.
a) Charge +q is brought along the z-axis from -∞ to the center of the ring. What is the increase in total potential energy...
Homework Statement
A model for the suspension of a vehicle is shown where the spring has stiffness k = 178 N.mm and an unstretched length of 347 mm.
Here is the picture: http://i.imgur.com/1dTVs12.jpg
Part a asked to determine the value of P and the force supported by member AB so that the...
In the triangle ABC the point D lies on the side BC and point E on the side AB. BD = AC, AD = AE and AB ^ 2 = AC * BC. Show that \angle BAD = \angle CEA
Homework Statement
A 100 lb vertical force is applied to the end of a lever, which is attached to a shaft at O. Determine (a) the moment of the 100 lb force about O (b) the horizontal force applied at a that creates the same moment about O.
Homework EquationsThe Attempt at a Solution
I know...
Hello,
I was working on a classical mechanics problem, and I suddenly came up with this question:
Let's think about a point in a 2-D plane. This point is represented by (r, θ), where r is the distance between the origin and the point and θ is the angle measured from the x-axis.
Now, what is...
Let (X, d) be a complete metric space, and suppose T : X → X is a function such that T^2 is a contraction. [By T^2, we mean the function T^2 : X → X given by T^2(x) = T(T(x))]. Show that T has a unique fixed point in X.
So I have an answer, but I am not sure whether it is correct. It goes as...
Hi
What would be the mathematical approach for calculating the resistance between two close points on an infinite plane of resistive material? And if the plane was circular/square/rectangular with the two points at the cente?
Hello all, was wondering if you fine chaps / ladies could help with a bit of algebra. Annoyed it's had to come to this but alas my algebra levels keep leading me astray.
## x + y = c ##
## x^2 + h^2 = a^2 ##
## y^2 + h^2 = b^2 ##
I've been reading Measurements - Paul Lockhart (wish i picked...
Homework Statement
A point charge q is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. How much work would it take to move the point charge out to infinity (through a tiny hole drilled in the shell)?
[answer: q2/8πε0)(1/a - 1/b)
Homework...
Homework Statement
So I have to prove that the total velocity of a particle on a wheel is Vcm+Ui=Vi where Ui is the particles velocity if the wheel's center of mass wasn't moving so just v=omega*R I'm assuming and Vcm is the velocity of the center of mass and Vi is the total velocity of the...
The Wikipedia page on the heat of vaporization has a nice graph showing the heat of vaporization going to zero at the critical points of various substances. Is there a known form for the heat of vaporization as a function of temperature near the critical point? I imagine it is probably a power...
Homework Statement
Determine from the left graph the speed at t1.
Answer:
Draw the tangent (right graph) at t1 and determine the slope. v = 1.4/0.30 = 4.7 m/s
2. The attempt at a solution
The slope is (Y2-Y1)/(X2-X1). t1 coordinates are (0.24-0.25, 0). In order to get the answer I should...
Hello everyone. Hopefully someone would be able to help me with this problem.
The question states:
Two point charges qa = -12 micro coulombs and qb = 45.0 micro coulombs and a third particle with unknown charge qc are located on the x axis. The particle qa is at the origin placed so that each...
İn some articles, I see something...
For example,
Let we define a sequence by ${x}_{n}=f{x}_{n}={f}^{n}{x}_{0}$$\left\{{x}_{n}\right\}$. To show that $\left\{{x}_{n}\right\}$ is Cauchy sequence, we suppose that $\left\{{x}_{n}\right\}$ is not a Cauchy sequence...For this reason, there exists a...
The question posed: "An object is located to the right of a mirror that in concave in its [the object's] direction. If the object sits on the focal point of the mirror, what answer best describes the image formed?"
Our class is united in the notion that as the rays would be parallel...
Homework Statement
Two charges q1=+9c and q2+-1c are separated by 2m. Where is their neutral point?
Homework Equations
E = E(+) + E(-)
E= k q/r^2
The Attempt at a Solution
k q1/(2+x)^2 = -(k q2/x^2)
When I solve for this equation I end up square rooting a negative number which would then...
Homework Statement
An infinite line of charge with linear density λ1 = 6.9μ C/m is positioned along the axis of a thick insulating shell of inner radius a = 2.6 cm and outer radius b = 4.8 cm. The insulating shell is uniformly charged with a volume density of ρ = -656μ C/m3
1)What is λ2, the...
Homework Statement
Four equal point charges q = +22.4 μC sit at each corner of a square. What charge Q, in μC, must be placed in the center so all the charges are in equilibrium? Your answer must include the sign of the charge.
Homework Equations
F = q1*q2 * k / r^2
3. The Attempt at a...
Homework Statement
Find the electric field (both magnitude and direction) at point P located between the charges q1 = -3C and q2 = +4C. Point P is 1/3 of the charges' separation distance from q1 and 2/3 of the charges' separation distance from q2.
Homework Equations
E = kq/d^2
Etotal = E1 + E2...