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mestny [16]
3 years ago
13

23. Challenge: A gas is heated so that it expands from a volume of 1.0L to a volume of 1.5 l. If the

Physics
1 answer:
Natali [406]3 years ago
5 0

<u>417 K is the “final temperature” of the gas</u>.

<u>Explanation</u>:

According to “Charles law” the change in “volume” of a given mass of gas expanded is “directly proportional” to the “temperature” of the given gas expanded. When we keep “pressure” of the gas as constant. Mathematically,

v \alpha T

\frac{v}{T}=\text { constant }

If gas is expanded from initial volume to final volume and initial temperature to final temperature then,

\frac{v_{1}}{T_{1}}=\frac{v_{2}}{T_{2}}

\begin{array}{l}{\text { Where, } v_{1} \text { and } v_{2} \text { are the initial and final volumes of the gas expanded recpectively,}} \\ {T_{1} \text { and } T_{2} \text { are the initial and final temperatures of the gas expanded recpectively }}\end{array}

Given that,

Initial volume is 1.0L

Final volume is 1.5L

\text { Initial temperatureis } 5.0^{\circ} \mathrm{C}=5+273=278 \mathrm{K}

To find final temperature of the gas

Substitute the given values,

\frac{1}{278}=\frac{1.5}{T_{2}}

T_{2}=1.5 \times 278

T_{2}=417 K

Therefore, <u>final temperature of the gas after expanding is 417 K</u>.

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