Can someone explain how to solve the following problem using the Combined Gas Law step by step?
What volume will gas occupy if 60.0 mL at -247.7°C and 380 torr pressure are adjusted to STP?
Thank you.
Homework Statement
In outer space, the density of matter is about one atom per cm^3, mainly hydrogen atoms, and the temperature is about 3.4K. Calculate the average speed of the hydrogen atoms, and the pressure (in atmospheres)
M_H = 1.0079au = 1.67 X 10^-27 Kg
1 Hydrogen atom per cm^3...
I'm curious from a lab sort of perspective, how does one keep a gas at a constant temperature yet decrease both pressure and density? Like how could I reduce the pressure of argon gas with the gas kept at room temperature? Put it in a vacuum larger than the space it normally occupies or...
My physics problem is as following,
Estimate the average temperature of the air inside a hot air balloon. Assume that the total mass of the unfilled balloon and payload is 500kg. what is the mass of the air inside the balloon?
we are told to use a radius of 15m
Equations needed
density = m/V...
The ideal gas law states that pressure (P) is equal to the product of density (N), the ideal gas constant (R) and temperature (T):
P = N x R x T
I can't figure out which unit the pressure is actually in, although it does seems to work out as the figure I'm supposed to get with a 11706.85°...
Homework Statement
A cook puts 9.00g of water in a 2.00L pressure cooker and warms it to 500 degree celcius. What is the pressure inside the container.Homework Equations
P_{total} = P_{1} + P_{2} +... (eqn1)
PV = nRT (eqn2)
\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{1}} (eqn3)
The Attempt at a...
Homework Statement
To measure how far below the ocean surface a bird dives to catch a fish, a scientist uses a method originated by Lord Kelvin. He dusts the interiors of plastic tubes with powdered sugar and then seals one end of each tube. He captures the bird at nighttime in its nest and...
Homework Statement
1. Consider ideal gas in a rigid cylinder of 2 litres, at pressure of 3 Bar. The gas is connected through a thin capillary to a free expanding bag, which contains ideal gas at pressure 1Bar and volume of 1 litre. A valve in the capillary initially prevents the gases to mix...
Homework Statement
A Sample of gas 250 mL at 37 C and 730 torr . What volume would gas occupy at standard conditions ?
Homework Equations
pv = nRT
V2 = T2P1V1
-------
T1P2
The Attempt at a Solution
Sample Gas
V = 250 mL ( 0.250 L )
P = 730 torr ( .960...
I'm trying to fit this together.
For monotomic molecules, the avg kinetic energy is 3/2 k_b T
for diatomic, it is 5/2 k_b T
PV = n_particles * k_b T
Why is there no factor of 3/2 or 5/2 in the ideal gas law? How is it factored out?
My physics teacher recently assigned this challenge and I have no clue where to begin. I think the ideal gas law might apply but I'm not sure. Any insight?
A bottle, full of air at atmospheric pressure, whose volume is 500 cubic centimeters, is sunken mouth downwards below the surface of a...
A neon tube of volume 1.0 × 10−3m3 holds a sample of 3.0 × 1020 atoms of neon gas in equilibrium. The distribution of speeds of the neon atoms shows a peak at 500 m s−1. The neon may be treated as an ideal gas. (Take the mass of each neon atom to be 20 amu.)
What is the Temp & Pressure of the...
Homework Statement
If 2.00 m³ of a gas initially at STP is placed under a pressure of 5.00 atm, the temperature of the gas rises to 39.0°C. What is the volume?
STP means it's at 0°C and 1 atm of Pressure, correct?
V1 = 2.00 m³
V2 = ?
T1 = 0°C = 273°K (My main confusion was units: °C...
Homework Statement
You have a balloon (stretchy) filled with one liter of He at 1 atm and 298 Kalvin. The balloon is suddenly placed into a room at .5 atm and 298 Kalvin. What is the temperature of the gas inside the balloon a little while after this happens?
Homework Equations
P*V=n*R*T...
Homework Statement
A hot-air balloon achieves its buoyant lift by heating the air inside the balloon, which makes it less dense than the air outside. Suppose the volume of a balloon is 1900 m3 and the required lift is 2500 N (rough estimate of the weight of the equipment and passenger)...
Homework Statement
In an internal combustion engine, air at atmospheric pressure and a temperature of about 20°C is compressed in the cylinder by a piston to 1/4 of its original volume (compression ratio = 4.0). Estimate the temperature of the compressed air, assuming the pressure reaches 20...
Ok, so I'm doing this homework online and I THINK I'm doing it correctly, but I'm getting incorrect answers.
Homework Statement
0.290 mol of argon gas is admitted to an evacuated 40.0 cm^3 container at 60.0 degrees C. The gas then undergoes an isochoric heating to a temperature of 300...
Homework Statement
A pressure as low as 1 * 10^-8 torr can be achieved using an oil diffusion pump. How many molecules are there in 1 cm^3 of a gas at this pressure if its temperature is 371 K?Homework Equations
PV = nRT = NkTThe Attempt at a Solution
I converted 1*10^-8 torr to atm and got...
Why is there a difference when calculating pressure temperature and volume using the combined gas law, or when using adiabatic relations? As an idiot I am very confused. Why must I use a very similar equation to calculate the final temperature of an ideal gas but resulting in very different...
As stated in the question: I have PV(T) [J/kg] vs P [Pa] plotted for 2 different temperatures. I'm to approximate the the temperatures using the lines and the ideal gas law. Note: V is the specific volume. I have no clue how to do this:
I know that PV vs P is just as if I had nRT vs P. From...
Homework Statement
The following equations of state are occasionally used for approximate calculations on gases: (gas A) pVm = RT(1+b/Vm), (gas B) p(Vm -b) = RT. Assuming that there were gases that actually obeyed these equations of state, would it be possible to liquefy either gas A or B...
Homework Statement
Find the final temperature?
PV relationship -- PV^1.2 = constant
P1 = initial pressure = 720 kN/m^2
V1 = initial volume = 0.4 m^3
V2 = final volume = 1.2 m^3
T1 = initial temperature = 225 C
I managed to get the final pressure part out of the way but don't know where to...
Homework Statement
i need to derive the ideal gas law
Homework Equations
this is the equation to end with.
PV=NkT
The Attempt at a Solution
I am not entirely sure where to start with this derivation. I believe Newton laws.
where your going to have Fx= Px/t
anyone...
1. Homework Statement
T1=300K
P1=100kPa
V1=1m^3
T1=T2=T3
P2=P3=200kPa
V3=0.1m^3
Q: Air initially at 300kpa is contained inside a piston-cylinder device with a volume of 1m^3. The cylinder is equiped with a check valve allowing air to escape when the air pressure reaches 200kPa. An...
Homework Statement
A cylinder contains 2 moles of an ideal monatomic gas that is initially at state A with a volume of 1.0 x 10-2 m3 and a pressure of 4.0 x 105 Pa.
The gas is brought isobarically to state B. where the volume is 2.0 x 10-2 m3.
The gas is then brought at constant volume...
Homework Statement
The ideal gas law can be recast in terms of the density of a gas.
a) Use dimensional analysis to find an expression for the density \rho of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole.
b) With the expression...
Homework Statement
A vertical cylinder has a piston of mass "m" on top that is free to move without friction. If
there are "n" moles of an ideal gas in the cylinder at absolute temperature "T", what is the
height "h" of the piston above the bottom of the cylinder so that it will be in...
Hi everyone,
I know that in P=nRT/v
R = 8.314 m3*Pa/mol*k
Now, when you are trying to calculate P, if you have volumn in m3 on the bottom, everything cancels out and you are left with Pa.
I've just developed a simulator which simulates particle motion over time and calculates...
Homework Statement
One cylinder in the diesel engine of a truck has an initial volume of 500 cm^3. Air is admitted to the cylinder at 30 C and a pressure of 1.0 atm. The piston rod then does 450 J of work to rapidly compress the air. What is its final temperature? What is its final volume...
Homework Statement
A rigid cylinder of 1000cm cubed contains 4.168grams of an ideal gas mixture. The gas mixture consists of methane and ethane at a temperature of 100C and a pressure of 500kPa
a) Estimate the average molar mass of the mixure
b) Calculate the composition of the mixture on a...
#1-Use the Ideal Gas Law to calculate the number of moles of gas at 1.00atm in a cell 10.0cm long having a cross sectional area of 1.00cm^2 at 298K. (1ml=1cm^3)
#2-Lets say you start with 6.0 x 10^2 mL of 1.0 x 10^-4 M NaOH solution containing phenolphthalein indicator. The equation is...
Homework Statement
What is the density of radon gas at 0 degrees C and 1 atmosphere?
Homework Equations
PV= nRT
0 C = 273 K
density = mass/volume g/m^3
The Attempt at a Solution
I want density = g/m^3
Below are the units of PV = nRT. I thought that breaking it down...
Gas Law problem... please help
Calculate the average kinetic energies of the CH4 and N2 molecules at 294 K and 574 K.
I've tried every possible way I could think of. I can't get the right answer. I don't know what equation to use anymore, I've done it all and nothing works.
I got all...
Q1.
ADIABATIC FREE EXPANSION(unrestricted and free)
in vacuum gas a volume of gas is released
expected expansion proceeds withouut change in internal energy therefore temperature is contant (joule's law) . there is no pressure acting on this system threfore no work is done...
Whoops, I meant to say tact. Hehe, maybe tactons are the gauge bosons for the tact force.
My Chemistry teacher, who has a Ph.D in Biology., is teaching us that one can use the Celsius temperature scale for the Ideal Gas Law using (approximate) R = 0.0821 \frac{atm * L}{mol * K} . Where R is...
Homework Statement
Current vacuum technology can achieve a pressure of 1.0x10-6 mm of Hg. At this pressure, and at a temperature of 40.0 C, how many molecules are in 1.00cm3 ?
[b]2. Homework Equations [/b
pv=nrt
The Attempt at a Solutioni solved it using the ideal gas equation and...
Homework Statement
Helium in a steel tank is at 250kPa, 300K with a volume of .1m^3. It is used to fill a balloon. When the pressure drops to 150kPa, the flow of helium stops by itself. If all the helium is still at 300k, how big balloon is produced?
Homework Equations
I used the ideal...
[SOLVED]AP Question involving Ideal Gas Law - Thermal Physics - Pressure
I am having some trouble with an old ap problem(PART C ONLY), see below:
Homework Statement
1996 AP PHYSICS B Free Response Question:
The inside of the cylindrical can has a cross sectional area of 0.005 m^3 and...
Homework Statement
Even at low density, real gases don't quite obey the ideal gas law. A systematic way to account for deviations from ideal behavior is the virial expansion,
PV=nRT(1+B(T)/(V/n) + C(T)/(V/n)^2+...)
where functions B(T), C(T) and so on are called the virial...
[b]1. Homework Statement [/b
Estimate the pressure , in atmospheres, at the following locations:Odgen Utah(1430 m above seas level);Leadville colorado(3090 m) Mt. Whithney (4420 m) and various other cities above sea level. (assume that the pressure at sea level is 1 atm.)Homework Equations...
Homework Statement
This is Pathria (2nd Ed) 1.6 and it seemed simple enough but the magnitude of the answer seems unbelievably large:
A cylindrical vessel 1 m long and .1 m in diameter is filled with a monoatomic gas at P = 1 atm and T = 300 K. The gas is heated by an electrical discharge...
Homework Statement
Assuming that the temperature of the atmosphere is independent of height, solve the barometric equation to obtain the pressure as a function of height: P(z)=P(0)exp(-mgz/kT)
Show that the density obeys a similar equation.
Homework Equations
dP/dz=-mgP/kT...
Homework Statement
Calculate the mass of a mole of dry air, which is mixture of N2(78 percent by volume, O2 (21 percent) and argon (1 percent).
Use the ideal gas law to write the density of air in terms of pressure, temperature , and the average mass of the air molecules. Show , then...
Homework Statement
Consider a horizontal slab of air whose thickness(height) is dz. If this slab is at rest, the pressure holding it up from below must balance both the pressure from above and the weight of the slab. Use this fact to find an expression for Dp/dz, the variation of pressure...
Homework Statement
Rooms A and B are the same size and are connected by an open door. Room A however, is warmer(perhaps because its windows face the sun). Which room containks the grater mass of air? explain carefully.
Homework Equations
PV=nRT, PV=NkT, N=Na*n
The Attempt at a...
heres a partial pressure one:
1. A mixture of gases containing equal weights of carbon dioxide, CO, and ammonia exerts an overall pressure of 450 torr. What pressure is exerted by each gas individually?
my last question is:
2. The relative rate of diffusion between two gases is 1.89. If the...
What is the mole/ Mass ratio for ambient air at a given Temp/ Humidity?
I am trying to get a very rough calculation of a pressure increase in a turbine engine with a given increase in temperature.
In the ideal gas law alternative of PV=m/M(RT), The only part of the equation I am having...
Homework Statement
A gas bubble with a volume of 0.10 cm^3 is formed at the bottom of a 10.0 cm deep container of mercury. If the temperature is 27C at the bottom of the container and 37C at the top of the container, what is the volume of the bubble just beneath the surface of the mercury...
I'm doing an investigation, for my GCSE coursework, on how the combined gas law can be applied to formula one racing. For example: the tyres.
Can anyone give me any ideas on what to put into my investigation.
Thanks in advance.