Gas Laws
Gas Laws
Gas Laws
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SAMPLE PROBLEM 1<br />
A sample of nitrogen collected in the laboratory occupies a<br />
volume of 725 mL at a pressure of 0.971 atm. What volume<br />
will the gas occupy at a pressure of 1.40 atm, assuming the<br />
temperature remains constant?<br />
SOLUTION<br />
1. ANALYZE<br />
• What is given in the the original volume and pressure of<br />
problem? the nitrogen sample, and the new<br />
pressure of the sample<br />
• What are you asked to find? the volume at the new pressure<br />
Items Data<br />
Original pressure, P 1<br />
Original volume, V 1<br />
New pressure, P 2<br />
New volume, V 2<br />
0.971 atm<br />
725 mL N 2<br />
1.40 atm<br />
? mL N 2<br />
2. PLAN<br />
• What steps are needed to Rearrange the Boyle’s law equation<br />
calculate the new volume of to solve for V 2, substitute known<br />
the gas? quantities, and calculate.<br />
1<br />
P1V1 P2V2 to solve for V2 ,<br />
divide both sides of<br />
the equation by P2 to<br />
isolate V2 insert data and solve for V2 2<br />
P1V1 V2 <br />
P2 3. COMPUTE<br />
Substitute data for the terms of the equation, and compute the result.<br />
V 2 P 1V 1<br />
P 2<br />
0.971 atm 725 mL N 2<br />
1.40 atm<br />
503 mL N 2<br />
4. EVALUATE<br />
• Are the units correct? Yes; units canceled to give mL N2. • Is the number of significant Yes; the number of significant figfigures<br />
correct? ures is correct because data were<br />
given to three significant figures.<br />
• Is the answer reasonable? Yes; pressure increased by about 1/3,<br />
volume must decrease by about 1/3.<br />
<strong>Gas</strong> <strong>Laws</strong> 119
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