A sample of an ideal gas is slowly compressed to one-half its original volume with no change in pressure. If the original root-mean-square speed (thermal speed) of the gas molecules was V, the new speed is .(A) V/2.(B) V.(C) V/2(D)–√ 2V.(E) 2–√V.

So then the final answer on this case would be:

Explanation:

From the kinetic theory model of gases we know that the velocity rms (speed of gas molecules) is given by:

 (1)

Where V represent the velocity

R the constant for ideal gases

T the temperature

M the molecular weight of the gas

We also know from the ideal gas law that

If we solve for T we got:

For the initial state we can replace T into the equation (1) and we got:

For the final state we know that : And the pressure not change , so then the final velocity would be:

So then the final answer on this case would be:

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