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# Ideal Gas Law - Worked Chemistry Problems

## Example Problem #1

The Ideal Gas Law may be applied to many real gases.

Photodisc, Getty Images

You may wish to refer to the General Properties of Gases to review concepts and formulae related to ideal gases.

Problem

A hydrogen gas thermometer is found to have a volume of 100.0 cm3 when placed in an ice-water bath at 0°C. When the same thermometer is immersed in boiling liquid chlorine, the volume of hydrogen at the same pressure is found to be 87.2 cm3. What is the temperature of the boiling point of chlorine?

Solution

For hydrogen, PV = nRT, where P is pressure, V is volume, n is number of moles, R is the gas constant, and T is temperature.

Initially:

P1 = P, V1 = 100 cm3, n1 = n, T1 = 0 + 273 = 273 K

PV1 = nRT1

Finally:

P2 = P, V2 = 87.2 cm3, n2 = n, T2 = ?

PV2 = nRT2

Note that P, n, and R are the same. Therefore, the equations may be rewritten:

P/nR = T1/V1 = T2/V2

and T2 = V2T1/V1

Plugging in the values we know:

T2 = 87.2 cm3 x 273 K / 100.0 cm3

T2 = 238 K

238 K (which could also be written as -35°C)

##### Chemistry Tools

Anne Marie Helmenstine, Ph.D.