Question

What will be the final temperature of a 3L nitrogen gas initially exposed to a temperature of 10°C if the volume is increased to 10L assuming that the pressure is fixed at 1 atm?

Answer 1

Step 1

Charles's law states that the volume (V) of a gas is directly proportional to its absolute temperature. It is assumed that the pressure and the quantity of gas remain constant.

Mathematically:

`(V1)/(T1)=(V2)/(T2)`

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Step 2

Information provided:

T1 = 10 °C + 273 = 283 K

V1 = 3 L

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T2 = Unknown

V2 = 10 L

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Step 3

Procedure:

`\begin{gathered} (V1)/(T1)=(V2)/(T2) \\ T2\text{ =}(V2)/(V1)\text{ x T1} \\ T2\text{ = }\frac{10\text{ L}}{3\text{ L}}\text{ }x\text{ }283\text{ K } \\ T2\text{ = 943 K} \end{gathered}`

Answer: 943 K or 670 °C