Question

A gas has a pressure of 450 mmHg at 100 degrees Celsius. What will its new pressure be when the temperature rises 200 degrees Celsius

Answer 1

P2 = 900 mmHg.

Step-by-step explanation:

Given the following data;

Initial pressure = 450 mmHg

Initial temperature = 100°C

Final temperature = 200°C

To find the final pressure, we would use Gay Lussac's law;

Gay Lussac states that when the volume of an ideal gas is kept constant, the pressure of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Gay Lussac's law is given by;

`PT = K`

`(P1)/(T1) = (P2)/(T2)`

Making P2 as the subject formula, we have;

`P_(2)= (P1)/(T1) * T_(2)`

`P_(2)= (450)/(100) * 200`

`P_(2)= 4.5 * 200`

Final pressure, P2 = 900 mmHg.