Combined Gas Law

Aileen N. Sambrano

Robert Boyle

Jacques Charles

Joseph Louis Gay-Lussac

P1V1

T1

=P2V2

T2

This Formula was the combination of the law of Boyle’s law, Gay-Lussac's law and Charles law. Which means:

P1 = Init ial pressureV1 = Init ial volumeT1 = Init ial temperatureP2 = fi nal pressureV2 = fi nal volumeT2 = fi nal temperature

Combined Gas law which states that:

The ratio between the pressure-volume product and the temperature of a

system remains constant.

Combined Gas law which states that:

The ratio between the pressure-volume product and the temperature of a

system remains constant.

So Let’s Have Some Practice..!!!

 1.A gas measures 100 mL at 27 degree Celsius and 760 mmHg. What will be its volume at 15 degree Celsius and 750 mmHg.??

Answer: ?

The answer should be :

Formula: P1V1

T1

=P2V2

T2Let’s Derive the formula:

Given: P1 = 760 mmHg V1 = 100 mL T1 =27 degree Celsius + 273 K= 300 KP2 =750mmHgT2 =15 degree Celsius + 273 K= 288 KV2

= ?

Become: P1V1T2 = P2V2 T1

P2T1 P2T1

V2 = P1V1T2

P2T1

V2 =(760mmHg)(100mL)(288K)

(750mmHg)(300K) V2 = 96

mL

Let’s have some fun.!!

Answer the following Question and answer it right to get you're prize

Look Under your table

Answer the following Question

Word Problem1. If I have 17 liters of gas at a temperature of 67 0C and a pressure of 88.89 atm, what will be the pressure of the gas if I raise the temperature to 94 0C and decrease the volume to 12 liters?

1.P1 = 480 kPa

V1 = 5.00 L T1 = 293

K

P2 = 35 kPaT2 = 308 K

V2 = ??

Lets answer It. !!

1. 2 = 72.o8 L

P2 = 135.93 atm

“Word Problem answer”

Thank you for your

cooperation