Root mean square speed of the molecules of ideal gas is v. If pressure is increased two times at constant temperature, then the rms speed will become

Question

Root mean square speed of the molecules of ideal gas is v. If pressure is increased two times at constant temperature, then the rms speed will become (A)  (v/2) (B) v (C) 2v (D) 4v

Tardigrade Admin · Accepted Answer

RMS speed of gas molecules does not depends on the pressure of gas (if temperature remains constant) because p propto ρ . If pressure is increased n times density will also increase by n time but V rms remains constant.

Q. Root mean square speed of the molecules of ideal gas is $v$ . If pressure is increased two times at constant temperature, then the rms speed will become

$\frac{v}{2}$

v

2v

4v

RMS speed of gas molecules does not depends on the pressure of gas (if temperature remains constant) because $p \propto ρ .$ If pressure is increased $n$ times density will also increase by $n$ time but $V_{r m s}$ remains constant.

Q. Root mean square speed of the molecules of ideal gas is v. If pressure is increased two times at constant temperature, then the rms speed will become

2v​

v

2v

4v

RMS speed of gas molecules does not depends on the pressure of gas (if temperature remains constant) because p∝ρ. If pressure is increased n times density will also increase by n time but Vrms​ remains constant.

Q. Root mean square speed of the molecules of ideal gas is $v$ . If pressure is increased two times at constant temperature, then the rms speed will become

$\frac{v}{2}$

RMS speed of gas molecules does not depends on the pressure of gas (if temperature remains constant) because $p \propto ρ .$ If pressure is increased $n$ times density will also increase by $n$ time but $V_{r m s}$ remains constant.