Physics, 29.11.2019 19:31 adayisenga

Aroom with dimensions 7.00m×8.00m×2.50m is to be filled with pure oxygen at 22.0 °c and 1.00 atm. the molar mass of oxygen is 32.0 g/mol.

how many moles n oxygen of oxygen are required to fill the room?
what is the mass m oxygen of this oxygen?

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Answer from: aranza78

1. 5765 mol

First of all, let's calculate the volume of the room (which corresponds to the volume of the gas):

$V=7.00 m\cdot 8.00 m \cdot 2.50 m=140 m^3$

We also know the following data about the gas:

$T=22.0^\circ +273 =295 K$ is the temperature

$p=1.00atm = 1.01\cdot 10^5 Pa$ is the pressure

Then we can use the ideal gas law

pV=nRT

with R being the gas constant

to find the number of moles of the gas:

$n=\frac{pV}{RT}=\frac{(1.01\cdot 10^5 Pa)(140 m^3)}{(8.314 J/mol K)(295 K)}=5765 mol$

2. 184.5 kg

The molar mass of oxygen is

M_m = 32.0 g/mol

this corresponds to the mass of 1 mol of oxygen.

In this problem, the number of moles is

n = 5765 mol

So the total mass of these n moles of oxygen will be:

$m=n M_m = (5765 mol)(32.0 g/mol)=1.845\cdot 10^5 g=184.5 kg$

Answer from: Quest

it should be -8.6 cm hope this out

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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Aroom with dimensions 7.00m×8.00m×2.50m is to be filled with pure oxygen at 22.0 °c and 1.00 atm. th...

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