My attempt at deriving the equation:
Let a temperature a rod of length L constrained by walls on both ends be changed by ΔT.
So the change in lenghth of rod under no constraints = L α ΔT
Length of rod after change in temperature without walls =L+L α ΔT= L(1+L α ΔT)
However with constraints the...
An insulated container (constant volume, adiabatic) contains an Ideal gas with pressure P1 and temperature T1.
We open the container's hatch for a few seconds and let some particles escape from the container, then we close the hatch again. We know container's pressure has reduced by exiting...
Hi everyone,
I'm an electrical engineer working on making a linear model for a power take-off system. I've gotten inertial, friction, and hydraulic/electric components done, but what is really confusing me is the gas system; I haven't taken ANY thermodynamics. To simplify it, it is modeled as a...
TL;DR Summary: Help needed with plotting heat maps, using data we gathered in an experiment.
Hello,
so I'm having problems with analysing data, which we gathered from an experiment we did in class. This is meant as a type of non-guided experiments class, where we are just given an initial...
Hello,
I am stuck how to proceed with the equations below.
The problem:
A tank containing ##m_0## mass, with a temperature of ##T_0##, is to be filled with a total mass of ##m_1##, with the constant mass flow rate ##G## and temperature ##T_1## during ##t_p## seconds. ##T_0>T_1##. Other than the...
The effect of temperature change in Le Chatelier's Principle is given by the equation $$ \log \left(\frac{\mathrm{K}_{2}}{\mathrm{~K}_{1}}\right)=\frac{\Delta \mathrm{H}}{2.303 \mathrm{R}}\left[\frac{1}{\mathrm{~T}_{1}}-\frac{1}{\mathrm{~T}_{2}}\right] $$. How to derive $$ \log...
I am looking to approximately calculate the temperature change of a sample that was exposed to a laser pulse. Experimentally, we know the optical absorption, reflection, and transmission, as well as the source parameters for our laser system. I realize that I will have to make approximations...
So I calculated the final and initial pressures using the given eqns, ended up with the final pressure of 96629 and initial pressure of 62639.
Then I used the PV=nRT eqn to calculate the final and initial temperatures. T=P*V/(n*1.5*R).
I got an initial temperature of 81.79 and a final...
So first I found rate of heat change using the above equation, with T=883K, e=1, SA= 6*l^2=21.66
Now dQ/dt=746593.71 W
Now I am not sure entirely what to do next. They give density so I likely have to get the mass from that, M=pV,=1.9^3*4037=27689.783 kg.
My issue is that I don't know how to...
Summary:: What is the temperature change of a bullet upon impact.
I have this problem to solve but I'm kinda stuck, would apricate any feedback.
We fire a silver bullet with a muzzle speed of 200 ms−1 into a sack of sand. What is the temperature change of the bullet, if 40 % of its kinetic...
I'm releasing pressurized propellant into another chamber which is at atmospheric pressure, I want to estimate the temperature to which that chamber will drop to and the rate at which the liquid (collecting in the new chamber) will boil.
The second chamber is open to atmosphere via a small...
I tried modeling the problem quite a few ways. one was to say that the difference between the heat emitted by the room and the heat emitted by the bulbs would equal the heat absorbed by the room, and that could allow us to calculate temperature. This did not work. I'd appreciate your help
I am studying the rotary compressor and I have understood that the stagnation pressure and stagnation temperature both increase in the rotor stage (as energy is being added). I also read that in the stator stage the stagnation temperature remains a constant but there is loss of stagnation...
Good day all!
I have the following exercise
One kilo-mole of air expands adiabatically from an initial state p1=1 bar, T1=340 K to a final state V2= 2V1. Compute the temperature of the final state, for the following cases: Joule expansion (gas free expansion with W12=0)
My problem is with the...
In 'Introduction to Cosmology' by Barbara Ryden, there is an argument made using the first law of thermodynamics to derive the relation T(t) ∝ a(t)-1 on pages 29 and 30.
MENTOR NOTE: removed copyrighted material.
I've been able to work out all the omitted details up to 2.37, which gives the...
In bolometers, incoming radiation warms a strip of material. this material will have a large thermal coefficient of resistance, leading to a (small) resistance change in the material. the inventor, Samuel Pierpoint Langley apparently used this to detect a cow from 1/4 of a mile away using a...
Hello, I'm currently taking some summer classes at my college and was assigned a project to transport vaccines from one location to another (travel time ~2-5 hours.) We have to keep the vaccine within the range of 35-46 degrees Fahrenheit at all times. My group and I came up with the idea of...
I'm looking to see how much the dielectric constant of air will change mostly as a function or air temperature.
Is there a formula that outputs air dielectric as a function of temperature or atmospheric pressure?
It seems that a solution to the following problem is strangely absent from the internet. After days of research, I have found no one who offers such a solution. Only one paper addressed it but was sloppy in the way it presented the equations; they were incomplete.
The problem is simply...
Using a pump we are cycling water through a capsule with filter media inside; while measuring the flow rate (l/min) and the pressure (psi) going in and the pressure going out. The water is cycled back into the same storage tank. As the flow rate increases the differential pressure should change...
Homework Statement
The temperature of n = 19 mol of argon gas is increased from T1 = 21 oC by Q = 4.4 kJ heat transfer, while the gas pressure is kept constant. What is the new gas temperature in Celsius degrees?
Homework Equations
and as its a monoatomic gas I think this means that the...
Hello,
After the last post I completely changed the system. I now have a new system. Based on the feedback from last time I increased the time in contact with the block significantly. And I have made it a two stage unit.
Here are the parameters for the first stage. An Aluminum block. (assume...
During a thermodynamic process, the state variables of an ideal gas, measured in kPa, m3, and oC, varied in the following way:
P2 = 2P1
V2 = 3V1
T2 = 8T1
What is the temperature increase of the gas, T2 −T1 ?
I've been given an answer of 4780 and I'm not sure how to get there?
For my research I am trying to study the temperature change of a warm fluid (air) flowing over a cold surface, but I have not studied fluid mechanics. Does anyone know of an equation that can be used to analyze this problem? To give some reference, the hot air is 49 Celsius and the cold air is...
Homework Statement
A mixture of hydrogen, carbon monoxide and carbon dioxide is being fed to a compressor at 2.0 bar and 25 C. The overall flow rate is 17.47 SCMS and its composition is 73.5 mol% H2, 13.7 mol% CO and the balance CO2 The compressor operates adiabatically and reversibly with a...
I know that in a para magnetic material the magnetization increase on cooling. What will be the same effect on a diamagnetic material,considering the fact that Curies law doesn't hold good on diamagnetic materials.
Hi,
From the first law of thermodynamics it follows:
Cp * (δT/δt) = (δQ/δt)
where Cp = specific heat capacity, T = temperature, Q = heat, t = time
From this formula, you would derive that temperature keeps on increasing as long as dQ/dt > 0. But if you, for example, look at the idealized...
Hello !
I have troube doing a calculation.
Let's say we have a volume Vi in a tank at a pressure Pi. If I let my tank open, the tank's liquid will start to boil to keep the pressure Pi inside the tank. Now, at the end, I will have a volume Vf in the tank, and still a pressure Pi.
But the...
Homework Statement
"One way to heat a gas is to compress it. A gas at 1.00 atm at 25.0°C is compressed to one tenth of its original volume, and it reaches 40.0 atm pressure. What is its new temperature?"
So, I have:
P1 = 1
V1 = 1
T1 = 25
P2 = 40
V2 = 0.1
And I'm looking for T2
The question was...
Homework Statement
What is the change in internal energy (in Joules) of an ideal gas that does 4.675x10^5J of work, while 2.95x10^6J of heat is transferred into the system and 7.95x10^6J of heat is transferred from the system to the environment? Calculate the change in temperature of the two...
Homework Statement
This is a question for 10 year old but I have a problem understanding why the answer is so.
(The student asked me this.)
There are two similar containers, X and Y, with 500 ml of boiling water. X is an aluminium container. Y is a plastic container. They are then covered with...
Homework Statement
in this question , it's not stated that whether the temperature change from 20°C to -20°C or -20°C to 20°C .
I'm confused...
Homework EquationsThe Attempt at a Solution
I think it should be changing from 20°C to -20°C so delta T = (-20-20) = -40°C , am i right ?
I've been trying to wrap my head around the relationship between temperature increase of an object at a distance and temperature of a heat source. From what I've found, the temperature increase of an object from thermal radiation is affected by the inverse square law...
Good day to all,
Hi, i would like to ask if there is a way to calculate the temperature change at a given time. I will use this as a basis for my study which is about designing an ice container and i would like to know how long does my ice last given its own temperature and the outside...
Homework Statement
Suppose we drop a lead ball of mass M into water of mass m from a height h and allow everything to settle down. What is the temperature change of the water? Assume that the container is well insulated.
Homework Equations
Potential Energy = mgh
dU = mcdT
where dU is the...
A metal block at 500 K is kept on a large ice slab at 273 K.The metal block completely sinks inside the ice slab. I was told that the water in contact with ice would not change its temperature while the block sinks down and hence the "only" heat transfer from the metal block to ice slab will...
Homework Statement
I need to proove that temperature changes make objects break. I used a stone, and heated it for about 10 minutes. After that I put it in cold water. According to my teacher that should've broken the stone, but it didn't. I had to give it a few hits, not too many or too...
Hi guys n girls,
I have a real conundrum today. There us a rumor that if you put 2 pots of water, that are absolutely identical except that in one the water is boiling hot in the other it is room temperature, the one with the boiling water freezes faster. How can that be ?
Pure logic dictates...
Homework Statement
Helium is stored in a tank initially at temperature To and pressure Po. It starts coming out through an opening (pipe outlet) at a constant mass flow rate of mdot. Calculate the decrease in temperature and pressure of the tank (assuming no heat loss to the surroundings) as a...
Homework Statement
A 100 kN load is applied to a flange positioned midway (at B) along a 50 mm diameter steel bar (ABC).
The bar is placed between two rigid supports and is thus constrained.
Determine the position of the flange (distance from the left support) if the temperature of the bar...
Hi there guys,
I'm conducting an experiment to calculate the mass flow rate of water. Bellow is a copy of the procedure:
1) Weigh the mass in kg of a container
2) Connect a flow meter to a tap (any source) with a pipe and insure the departure pipe goes into a sink
3) Open the tap an increase...
I have this problem and have been pulling what's left of my hair out:
The Wivenhoe hydroelectric power station requires water to be pumped from Wivenhoe Dam to
Splityard Creek Dam, using two pumps (each consuming 250 MW of power at 98% efficiency) to
elevate the water approximately 70 m. At...
Homework Statement
[/B]
A molten metal is forced through a cylindrical die at a
pressure of 168000 Kg per square meter. Given that the density of
the molten metal is 2000 Kg per cubic meter and the specific heat of the
metal is 0.03, find the rise in temperature during...
I recently encountered this problem in class
"A glass pot of mass 0.6kg contains 1.2kg of oil at 15 degrees Celsius. If 214kJ of energy is supplied to it, what is the final temperature of the pot and oil? ( The specific heat capacity of glass is 700 J kg-1 °C-1, and the specific heat capacity of...
If normal ambient temperature on production floor is 65-70°F, would there be noticeable effects on production floor equipment if we drop ambient down to 35-40°F? Equipment consists of motors, PLC's, VFD's, process instrumentation ie flow meters, chart recorders, level sensors/transmitters...
Homework Statement
A lightning flash releases about 1010J of electrical energy.
If all this energy is added to 50 kg of water (the amount of water in a 165-lb person) at 37∘C, what are the final state and temperature of the water? The specific heat of water is 4180 J/kg⋅∘C, heat of...
Homework Statement
Homework Equations
pv=nRT
The Attempt at a Solution
Celsius and kelvin read the same so that means the pressure does not change because the gasses volume does not. C