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Zina [86]
3 years ago
7

A monatomic gas is measured to have an average speed of 1477 m/s. If the

Physics
1 answer:
lana [24]3 years ago
3 0

Answer:

The temperature of the gas is 350.02 K.

Explanation:

The average speed is related to the temperature as follows:

\bar v = \sqrt{\frac{3RT}{M}}   (1)

Where:

\bar v: is the average speed = 1477 m/s

R: is the gas constant = 8.31 J/(K*mol)                                                  

T. is the temperature =?

M: is the molar mass

First, let's find the molar mass:

M = \frac{m}{n}

Where:

m: is the mass of the gas = 0.008 kg

n: is the number of moles = 2 mol

M = \frac{m}{n} = \frac{0.008 kg}{2 mol} = 0.004 kg/mol

Hence, by solving equation (1) fot T we have:

T = \frac{\bar v^{2}*M}{3R} = \frac{(1477 m/s)^{2}*0.004 kg/mol}{3*8.31 J/(K*mol)} = 350.02 K

Therefore, the temperature of the gas is 350.02 K.

I hope it helps you!            

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