Question

Which of the following correctly represents the temperature of an ideal gas?

3Rn2Ek3Rn2Ek

2Ek3Rn2Ek3Rn

Ek3REk3R

2EkRn

Answer 1

Answer on Question #58711-Physics-Molecular Physics-Thermodynamics

Which of the following correctly represents the temperature of an ideal gas?

3Rn2Ek

2Ek3Rn

Ek3R

2EkRn

Solution

The average kinetic energy of an ideal gas is

$$E _ {k} = \frac {3}{2} k T = \frac {3}{2} \left(\frac {R}{N}\right) T$$

The temperature of an ideal gas is

$$T = \frac {2}{3} \frac {E _ {k} N}{R}.$$

Answer: $\frac{2}{3} \frac{E_k N}{R}$ .

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