AVOGADROS

1. COMBINED GAS LAW Universal gas constant

2. SAMPLE PROBLEM
• The oxygen tank manufacturer used to produce 5.0L
oxygen tanks at 2000 psi and 25°C . Statistics suggest
that the 3.0 L oxygen tank at 1500 psi more marketable.
What temperature requirement is needed to produce a 3
L oxygen tank at 1500 psi?
Initial Conditions Final Conditions
V1=5.0 L V2= 3.0 L
T1= 25° C T2= ?
P1= 2000 psi P2=1500psi

3. Initial Conditions Final Conditions
V1=5.0 L V2= 3.0 L
T1= 25° C T2= ?
P1= 2000 psi P2=1500psi
T2 = T1P2V2
P1V1
T2 =(298 K) (1500psi)(3.0L)
(2000 psi) (5.0 L)
T2 = 134.1 K

4. SAMPLE PROBLEM
A gas balloon has a volume of 106.0
liters when the temperature is 45.0 °C
and the pressure is 740.0 mm of
mercury. What will its volume be at
20.0 °C and 780 .0 mm of mercury
pressure?

5. SEATWORK 1
•Helium gas has a volume of 250 mL at
0°C at 1.0 atm. What will be the final
pressure if the volume is reduced to
100mL at 45° C?
2.91 atm

6. SEATWORK 2
•The volume of the gas at 27°C and 700.0
mmHg is 600.0 mL. What is the volume of
the gas at -20.0°C and 500.0 mmHg?
708.4ml

7. LORENZO ROMANO AMADEO
CARLO AVOGADRO
The volume of gas id directly proportional to the number of moles
of gas present at a given temperature and pressure.
V∞ n at constant T and P
V ∞ n K
𝑉
𝑛
= K

8. BOYLES/CHARLES/AVOGADRO
PV= nRT
V=volume in liters
P= pressure in atm
n= moles
T=temperature in Kelvin
R=universal gas constant (0.0821 L. atm mol K)

9. APPLICATION USING GAS LAW
The exposure to high temperature increases the
kinetic energy of the gas causing an increase in the
pressure due to the increased collision. An increase
in pressure would result in expansion in volume.

12. p=
𝑚
𝑎

13. d=
𝑚
𝑣

14. Boyle’s Law
Combined Gas Law
Ideal gas law