Physics, 06.05.2020 07:10 jacks0292

A closed cylindrical container is divided into two parts by a light, movable, frictionless piston. The container's total length is 120 cm . Where is the piston located when one side is filled with nitrogen N2 and the other side with the same mass of hydrogen H2 at the same temperature?

Answers: 1

Show answers

Answers

The H2 gas occupies the length of x = 111.94 cm of the cylinder while N2 gas occupies the length of L - x = 120 - 111.94 = 8.055 cm

Explanation:

Given:-

- The length of the cylinder, L = 120 cm

- The mass of the N2 = mn

- The molecular mass of N2, Mn = 28.013 g / mol

- The molecular mass of H2, Mh = 2.016 g / mol

- The mass of the H2 = mh.

- The universal gas constant = Ru

FInd:-

Where is the piston located when one side is filled with nitrogen N2 and the other side with the same mass of hydrogen H2 at the same temperature?

Solution:-

- We will assume both gases ( N2 and H2 ) to have ideal behaviour. The ideal gas law is applicable.

- Since ideal gas is defined as one in which all collisions between atoms or molecules are perfectly elastic and in which there are no intermolecular attractive forces.

- In other words, the Ideal Gas Law is accurate only at relatively low pressures (relative to the critical pressure pcr) and high temperatures (relative to the critical temperature Tcr). At these parameters, the compressibility factor, Z = pv / RT, is approximately 1.

- Ideal gas state equation is given below:

P*V = n*R_u*T

Where,

P : The absolute pressure of the gass

V : The volume occupied by the gas

n : The number of moles of the gas

Ru : The universal ideal gas constant

T : The absolute temperature of gas ( Kelvin )

- The number of moles ( n ) of a gas is defined by the ratio of mass of gas in ( kg ) and the molecular weight of the gas ( Mr ). Given by:

$n = \frac{m}{M_r}$

- Substitute the number of moles in the Ideal gas state equation. We have:

$P*V = \frac{m}{Mr} *R_u*T$

- Now from the data given the pressures, mass and temperatures of the gasses are equal. So we will formulate the two state equation for each gas.

N2:

$P*V_n = \frac{m}{M_n} *R_u*T$

H2:

$P*V_h = \frac{m}{M_h} *R_u*T$

- Divide the state equations for both gases , ( N2 / H2 ):

$\frac{V_n}{V_h} = \frac{M_h}{M_n}$

- Use the given data to compute the ratio of volume occupied by the both gasses.

$\frac{V_n}{V_h} = \frac{2.016 g/mol}{28.013 g/mol} = 0.07196$

- We will assume the cross-section area "A" of the cylinder does not vary along the length of the cylinder. So for one dimensional length " x " defines the length of the cylinder occupied by the H2 gas.

- The remaining length " L - x " is occupied by the N2 gas then we have:

$\frac{V_n}{V_h} = \frac{\pi*r^2*(L-x) }{\pi*r^2*(x)} = \frac{L-x}{x}$

- Now equate the ratio calculated:

$\frac{V_n}{V_h} = \frac{L-x}{x} = 0.07196\\\\L-x = 0.07196x\\\\L = 1.07196x\\\\x = 120 / 1.07196\\\\x = 111.94 cm$

- The H2 gas occupies the length of x = 111.94 cm of the cylinder while N2 gas occupies the length of L - x = 120 - 111.94 = 8.055 cm

Answer from: Quest

explanation:

hdshusjshssh

Answer from: Quest

the device is called “ rocket engine”

Another question on Physics

Physics, 22.06.2019 08:50

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?

Answers: 2

Answer

Physics, 22.06.2019 11:30

Two 1.20-m nonconducting wires meet at a right angle. one segment carries + 2.50 µc of charge distributed uniformly along its length, and the other carries - 2.50 µc distributed uniformly along it, as shown in fig. 21.50. ( a. find the magnitude and direction of the electric field these wires produce at point p, which is 60.0 cm from each wire. ( b. if an electron is released at p, what are the magnitude and direction of the net force that these wires exert on it?

Answers: 3

Answer

Physics, 22.06.2019 15:50

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )

Answers: 1

Answer

Physics, 23.06.2019 00:10

During cooling, the kinetic energy of the molecules falls. why does this happen? a.the motion of the molecules increases. b. the motion of the molecules slows down. c.the van der waals forces between molecules decrease d. the forces of attraction between the molecules are overcome.

Answers: 2

Answer

You know the right answer?

A closed cylindrical container is divided into two parts by a light, movable, frictionless piston. T...

Questions