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## Main Question or Discussion Point

I've been thinking about the ideal gas law lately and there is something I don't understand. Say you have 2 containers filled with an ideal gas. Both containers contain the same moles of gas, the same temperature of gas, and both containers have the same volume. Therefore, according to the ideal gas law the pressure in both containers will be same regardless of the container shape since P = RnT/V and all the variables on the right side are the same for both containers. However, I have thought of a situation where this doesn't seem possible.

Here's an example. One container is a sphere and one container is in the shape of a cube. Now let's say both containers have the same volume of 1m

According to the volume formula for a cube the dimensions of the cube will be:

1m*1m*1m

Therefore surface area of a cube is

6m

According to the volume formula of a sphere the radius of the sphere will be roughly 0.62m and will have a surface area of 4.83m

As you can see the cube has a larger surface area compared to the sphere even though they both have the same volume. Now since Pressure=Force/Area wouldn't the pressure in the sphere be higher than the pressure in the cube? I would expect if the number of gas molecules in the container are the same and temperature is also the same then the force applied on the container would be the same.

So basically my question is what am I missing here?

Here's an example. One container is a sphere and one container is in the shape of a cube. Now let's say both containers have the same volume of 1m

^{3}.According to the volume formula for a cube the dimensions of the cube will be:

1m*1m*1m

Therefore surface area of a cube is

6m

^{2}According to the volume formula of a sphere the radius of the sphere will be roughly 0.62m and will have a surface area of 4.83m

^{2}As you can see the cube has a larger surface area compared to the sphere even though they both have the same volume. Now since Pressure=Force/Area wouldn't the pressure in the sphere be higher than the pressure in the cube? I would expect if the number of gas molecules in the container are the same and temperature is also the same then the force applied on the container would be the same.

So basically my question is what am I missing here?