Gas Laws
Gas Laws
Gas Laws
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SAMPLE PROBLEM 4<br />
A sample of hydrogen gas has a volume of 65.0 mL at a pressure<br />
of 0.992 atm and a temperature of 16°C. What volume<br />
will the hydrogen occupy at 0.984 atm and 25°C?<br />
SOLUTION<br />
1. ANALYZE<br />
• What is given in the the original volume, pressure, and<br />
problem? temperature of the hydrogen, and<br />
the new pressure and temperature of<br />
the hydrogen<br />
• What are you asked to find? the volume at the new temperature<br />
and pressure<br />
Items Data<br />
Original volume, V 1<br />
Original pressure, P 1<br />
Original temperature, t 1<br />
Original Kelvin temperature, T 1<br />
New volume, V 2<br />
New pressure, P 2<br />
New temperature, t 2<br />
New Kelvin temperature, T 2<br />
2. PLAN<br />
• What steps are needed to Rearrange the combined gas law<br />
calculate the new volume of equation to solve for V 2, substitute<br />
the gas? known quantities, and calculate.<br />
128 Chapter 11<br />
1<br />
P1V1 <br />
T1 P 2 V 2<br />
T 2<br />
to solve for V2 ,<br />
multiply both sides of<br />
the equation by T2 /P2 to<br />
isolate V2 insert data and solve for V2 65.0 mL<br />
0.992 atm<br />
16°C<br />
(16 273) K 289 K<br />
? mL<br />
0.984 atm<br />
25°C<br />
(25 273) K 298 K<br />
2<br />
T2P1V1 V2 P2T1 3. COMPUTE<br />
Substitute data for the terms of the equation, and compute the result.<br />
V 2 T 2P 1V 1<br />
P 2T 1<br />
298 K 0.992 atm 65.0 mL H 2<br />
0.984 atm 289 K<br />
67.6 mL H 2
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