# Problem: A scientist measures the speed of sound in a monatomic gas to be 449 m/s at 20°C.What is the molar mass of this gas?

###### FREE Expert Solution

For an ideal gas, speed of sound is given as:

$\overline{){\mathbf{v}}{\mathbf{=}}\sqrt{\frac{\mathbf{\gamma }\mathbf{R}\mathbf{T}}{\mathbf{M}}}}$

Solve for M:

$\mathbit{M}\mathbf{=}\frac{\mathbf{\gamma }\mathbf{R}\mathbf{T}}{{\mathbf{v}}^{\mathbf{2}}}$

91% (28 ratings) ###### Problem Details

A scientist measures the speed of sound in a monatomic gas to be 449 m/s at 20°C.

What is the molar mass of this gas?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Sound Waves concept. You can view video lessons to learn Sound Waves. Or if you need more Sound Waves practice, you can also practice Sound Waves practice problems.

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Based on our data, we think this problem is relevant for Professor Hicks' class at UAA.