Question

An ideal gas is at a temperature of 300 K. To double the average speed of its molecules, what does the temperature need to be changed to

Answer 1

The temperature of the Ideal Gas needs to be changed to 1200K.

What is an Ideal gas?

• A theoretical gas known as an ideal gas is made up of several randomly moving point particles with no interparticle interactions.
• Because it abides by the ideal gas law, a condensed equation of state, and is amenable to statistical mechanics analysis, the ideal gas concept is helpful.
• If, for instance, the interaction is totally elastic or is thought of as point-like collisions, the constraint of zero interaction can frequently be disregarded.
• Many real gases behave qualitatively like an ideal gas under various temperature and pressure settings, where the gas molecules (or atoms for monatomic gases) take on the function of the ideal particles.

$\frac{V_{1} }{V_{2} }$ = $\sqrt{\frac{T_{1} }{T_{2} } }$

$\frac{1}{2}$ = $\sqrt{\frac{300}{T_{2} } }$

$\frac{1}{4}$ = $\frac{300}{T_{2} }$

$T_{2}$ = 1200K.

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