Question

I NEED HELP
Write a mathematical equation showing that pressure (P) multiplied by volume (V) remains equal to a constant (k).

Answer 1

The mathematical equation showing that pressure (P) multiplied by volume (V) remains equal to a constant (k).

Explanation:

We have different gas laws that shows the relationship between pressure , volume , moles and temperature of a gas .

The gas laws that we generally study are :

• Boyle's law
• Charle's Law
• Avogadro's Law
• Gay lussac's law and many more .

Let us study about Boyle's Law :

According to it at constant temperature , the volume of a gas varies inversely with the pressure applied on a  gas .

That is : P∞1/v

Or, PV=K (constant )

If we a gas whose volume is changed from V₁ to V₂ and Pressure is changed from P₁ to P₂then we have :

P₁V₁=P₂V₂

Answer 2

$K = PV$ is the mathematical relation between the pressure and volume of the gas when K is given.

What is the relation between pressure and volume of gas?

At constant temperature, the volume (V)of an ideal gas is inversely proportional to the pressure(P) of the gas.

$P = \dfrac 1V\\\\K = PV$

Where,

$P$- the pressure of the gas

$K$ - gas constant

$V$ - the volume of gas

Therefore, $K = PV$ is the mathematical relation between the pressure and volume of the gas when K is given.

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