The Volume Of A Gas At 27 And 200mmhg Is 600ml.What Is The Volume Of The Gas At 280k And 500mmhg

The volume of a gas at 27 and 200mmhg is 600ml.what is the volume of the gas at 280k and 500mmhg

 

Good Day....

Problem:

The volume of a gas at 27 degree celsius and 200mmhg is 600ml.what is the volume of the gas at 280k and 500mmhg?

Note: We will always used kelvin temperature in solving any gas laws problem.

Kelvin = degree celsius + 273.15

Kelvin = 27 + 273.15 = 300.15 K

Given:

V1 (initial volume) = 600 ml               V2 (final volume) = ? unknown

P1 (initial pressure) = 200 mmHg      P2 (final pressure) = 500 mmHg

T1 = 27 degree celsius (300.15 K)    T2 (final temperature) = 280 K

Solution:

We can solve this problem using Combined Gas Law

The formula of Combined gas Law is P1V1/T1 = P2V2/T2

To find V2, we can use the formula V2 = P1V1T2 / T1P2

V2 = P1V1T2 / T1P2

     = 200 mmHg × 600 ml × 280 K / 300.15 K × 500 mmHg

     = 33,600,000 ml / 150,075

    = 223.888 ml

Answer:

The volume is 223.888 ml

Hope it helps....=)