An enclosed gas exerts a pressure p on the walls of a container. this pressure is directly proportional to the temperature t of the gas, measured in kelvin. if the pressure is 7 lb per square inch when the temperature is 420ºk, find the constant of variation.

Keywords:

Variation constant, directly proportional, temperature, pressure

For this case, we must find the constant of variation, knowing that the pressure is directly proportional to the temperature, knowing the values of pressure and temperature. So, we have:

Where "a" is the constant of variation or constant of proportionality

If

Substituting:

Clearing to:

, if we divide by 7 the numerator and denominator we have:

Thus, the constant of variation is given by:

The variation constant is given by:

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step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years