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Combined Gas Law The combined gas law combines Boyle’s Law and Charles’ Law.

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Presentation on theme: "Combined Gas Law The combined gas law combines Boyle’s Law and Charles’ Law."— Presentation transcript:

1 Combined Gas Law The combined gas law combines Boyle’s Law and Charles’ Law

2 Combined Gas Law Boyle’s Law P 1 V 1 = P 2 V 2 Boyle’s Law P 1 V 1 = P 2 V 2 Charles’ Law Charles’ Law V 1 = V 2 V 1 = V 2 T 1 T 2 T 1 T 2 Combined Gas Law Combined Gas Law P 1 V 1 = P 2 V 2 T 1 T 2 T 1 T 2

3 Units of Pressure Atmospheres =1 atm is the average atmospheric pressure at sea level Torr = equal to 1/760 of an atmosphere millimeters of mercury = 1 mm Hg is the same as 1 Torr, or 1/760 atm Kilopascals = there are 101.325 kPa in 1 atm Standard temperature and pressure (stp)= A set of conditions defined as 273 K and 1 atm

4 Converting to Kelvin Kelvin is abbreviated as K. To convert, just add 273 to whatever the Celsius temperature is. Example: 30° Celsius = 30 + 273 = 303 K

5 Combined Gas Law For example: If I initially have a gas at a pressure of 12 atm, a volume of 23 L and a temperature of 200 K, then I raise the pressure to 14 atm and increase the temperature to 300 K, what is the new volume of the gas? For example: If I initially have a gas at a pressure of 12 atm, a volume of 23 L and a temperature of 200 K, then I raise the pressure to 14 atm and increase the temperature to 300 K, what is the new volume of the gas?

6 Combined Gas Law Begin by converting to Kelvin. It is not necessary in this problem. Begin by converting to Kelvin. It is not necessary in this problem.

7 Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = P 1 = V 1 = V 1 = T 1 = T 1 = P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

8 Combined Gas Laws Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = V 1 = T 1 = T 1 = P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

9 Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = T 1 = P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

10 Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200K T 1 = 200K P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

11 Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200K T 1 = 200K P 2 = 14 atm P 2 = 14 atm V 2 = V 2 = T 2 = T 2 =

12 Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200K T 1 = 200K P 2 = 14 atm P 2 = 14 atm V 2 = x V 2 = x T 2 = T 2 =

13 Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200 K T 1 = 200 K P 2 = 14 atm P 2 = 14 atm V 2 = x V 2 = x T 2 = 300 K T 2 = 300 K

14 Combined Gas Law Now plug in the information you have... Now plug in the information you have... P 1 V 1 = P 2 V 2 T 1 T 2 T 1 T 2 12atm(23L) = 14 atm (x) 200K 300K 200K 300K

15 Combined Gas Law Cross multiply to solve for x Cross multiply to solve for x 12atm(23 L)(300K) = 200 K (14L)(x) 12atm(23 L)(300K) = 200 K (14L)(x) 82800 = 2800x 82800 = 2800x x = 29.57 Liters x = 29.57 Liters


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