Question

if a gas sample has a pressure of 761 mmhg at 0.00°c by how much does the temperature have to decrease to lower the pressure to 759 mmhg?​

Answer 1

272.43 K or -0.718°C

Step-by-step explanation:

We are given;

The initial pressure,P1 as 761 mmHg

Initial temperature, T1 as 0.00°C which is equivalent to 273.15 K

Final pressure as 759 mmHg

We are required to calculate the final temperature;

According to pressure law, the pressure of a gas and absolute temperature are directly proportional at constant volume.

That is; Pα T

Therefore, at varying pressure and temperature,

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

To get final temperature;

`T2=(P2T1)/(P1)`

`T2=((759 mmHg)(273.15K))/(761 mmHg)`

`T2=272.43K`

Therefore, the final temperature will be 272.43 K or -0.718°C