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Gas Laws

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These three gas laws can be combined in one combined gas law. This law<br />

can be expressed as follows.<br />

If PV/T equals a constant, k, then PV/T for a sample of gas under one<br />

set of conditions equals PV/T under another set of conditions, assuming<br />

the amount of gas remains the same.<br />

Therefore, the combined gas law can be expressed by the following<br />

mathematical equation. This equation can be used to solve problems in<br />

which pressure, volume, and temperature of a gas vary. Only the molar<br />

quantity of the gas must be constant.<br />

General Plan for Solving Combined-<strong>Gas</strong>-Law Problems<br />

2<br />

1<br />

Convert Celsius<br />

temperatures to<br />

Kelvin temperatures<br />

if necessary.<br />

P 1V 1<br />

T 1<br />

Given five of the following<br />

six quantities:<br />

V 1 ,T 1 , P 1 , V 2 ,T 2 , P 2<br />

Rearrange the equation<br />

P1V1 P2V2 <br />

T1 T2 algebraically to solve for<br />

the unknown quantity.<br />

An equation that can be used to<br />

calculate the unknown quantity<br />

3<br />

PV<br />

T<br />

k<br />

P 2V 2<br />

T 2<br />

Unknown<br />

V, T, or P<br />

Substitute each of the<br />

known quantities,<br />

and compute.<br />

Convert<br />

K to C if<br />

needed.<br />

Unknown<br />

t in C<br />

<strong>Gas</strong> <strong>Laws</strong> 127

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