When the temperature of an ideal gas is increased, the pressure also

Explanation:  

The expression for an Ideal Gas is:  

Where:  

is the pressure of the gas  

is the volume of the gas  

the number of moles of gas  

is the gas constant  

is the absolute temperature of the gas  

As we can see, there is a direct proportional relation between the temperature and the pressure, which means that if the temperature increases the pressure of the gas increases as well.

However, it is important to note this is fulfilled if and only if the volume of the container where the ideal gas is, remains constant.

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .