48.0 g of oxygen (O2 is diatomic) are confined in a rigid 1.00x10^3 L cubical container at temperature 300.0 K. Find the gas pressure and the force exerted by the oxygen gas on any of the six faces of the cube. Mass number of an oxygen atom is 16.0 1.00L=10^-3 m^3

To find the gas pressure, we can use the ideal gas law equation, which states:

PV = nRT

where:
P is the pressure,
V is the volume of the container,
n is the number of moles of gas,
R is the ideal gas constant,
T is the temperature.

First, let's calculate the number of moles of oxygen in the container:
molecular weight of O2 = 2 * atomic weight of oxygen = 2 * 16.0 = 32.0 g/mol

number of moles = mass / molecular weight
number of moles = 48.0 g / 32.0 g/mol = 1.5 mol

Now, we need to convert the volume of the container from liters to cubic meters:
1.00 x 10^3 L = 1.00 x 10^3 x (10^-3 m^3/L) = 1.00 m^3

Next, we can use the ideal gas law equation to find the pressure:
PV = nRT

P * 1.00 m^3 = 1.5 mol * (8.314 J/(mol*K)) * 300.0 K

P = (1.5 mol * 8.314 J/(mol*K) * 300.0 K) / 1.00 m^3
P = 3731.7 J/m^3

Since the units of pressure are typically in Pascals, we need to convert the pressure from joules per cubic meter to Pascals:
1 J/m^3 = 1 Pa

P = 3731.7 Pa

Now, to find the force exerted by the oxygen gas on any of the six faces of the cube, we need to consider that pressure is defined as force divided by area:
P = F / A

Since the cube has six faces of equal area, we can calculate the force exerted on each face:
F = P * A

First, let's find the area of one face of the cube:
A = side length^2

Since it is a cube, all sides have the same length, so let's call the side length L.

The volume of the cube is given as 1.00 m^3, so:
L^3 = (1.00 m^3)^(1/3)
L = (1.00 m^3)^(1/3)
L ≈ 1.00 m

Now, let's calculate the area of one face:
A = L^2 = (1.00 m)^2
A = 1.00 m^2

Finally, we can calculate the force:
F = P * A
F = (3731.7 Pa) * (1.00 m^2)
F = 3731.7 N

Therefore, the gas pressure in the container is approximately 3731.7 Pa, and the force exerted by the oxygen gas on each face of the cube is approximately 3731.7 N.