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Ideal Gas Law<br />

​<br />

The gas law which ​ describes ​ the relationship between ​P, V, n, R, and​ T in an equation where moles are<br />

present. ​ ​P represents pressure, ​ ​V represents volume, ​T represents temperature, ​n represents the number of<br />

moles given in the equation, and ​R is a number which eliminates all units of measurement in the equation<br />

and is measured in either ​atm, ​torr, or ​Pa, depending on what information is given. The equation is written<br />

as:<br />

P x V = ​nRT<br />

Example: ​A gas system has pressure,volume<br />

and moles of 1190torr, 2.29L and 0.193moles,<br />

respectively. What is the temperature in K?<br />

Step 1: ​Determine values to input into equation<br />

​ P = 1190torr | V = 2.29L | T = ? | ​n = 0.193moL |<br />

R = 62.364<br />

Step 2:​ Convert all units (if necessary) to L and K<br />

Step 3:​ Plug in values & simplify/Solve the<br />

equation<br />

​ 1190torr ​x ​2.29L = 0.193moL(62.364torr)( ​T )<br />

​<br />

Note: ​R eliminates all units<br />

​ 1190 ​x ​2.29 = 0.193(62.364)( ​T )<br />

2,725.1 = 12.036252​T<br />

226.407689 = ​T<br />

​ Answer:​ ​T = 226K<br />

Step 4: ​Apply units and significant figures<br />

123

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