Question 10.5.1: Calculate root mean square (rms) speed. Calculate the rms sp......

General Chemistry [1096778]

Calculate root mean square (rms) speed.

Calculate the rms speed of $NH_{3}$ molecules at 21.5 ºC.

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You are asked to calculate the rms speed for a gas at a given temperature.
You are given the identity and temperature of the gas.
Use Equation 10.13, with molar mass in units of kilograms per mole.

v $_{rms}$ = $\sqrt{\frac{3RT}{M} }$ = $\sqrt{\frac{3\left(8.3145 \text{ J/K} \cdot \text{mol}\right) \left(21.5 + 273.15 \text{ K}\right) }{0.01703 \text{ kg/mol}} }$ = 657 m/s

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