Question

Identify the mathematical relationship that exists between pressure and volume, when temperature and quantity are held constant, as being directly proportional or inversely proportional. Explain your answer and write an equation that relates pressure and volume to a constant, using variables, not the mathematical equation from the best fit line.

Answer 1

BOYLE'S Law

Step-by-step explanation:

Boyle's law states that at constant temperature the volume of a fixed quantity of an ideal gas is inversely proportional to the pressure of the gas.

Mathematically:

From the universal gas law we have:

`P.V=n.R.T`

where:

P = pressure of the gas

V = volume of the gas

n = no. of moles of gas

T = temperature of the gas

R = universal gas constant

when the mass of gas is fixed i.e. n is constant and temperature is also constant.

`PV=constant`

`P\propto(1)/(V)`

`P_1.V_1=P_2.V_2`

here the suffix 1 and 2 denote two different conditions of the same gas.