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Chapter 19: Q22P (page 578)

Question: Find the rms speed of argon atoms at 313 K.Molar mass of argon atoms is 39.948 g/ mol.

Short Answer

Expert verified

Answer:

The RMS speed of argon atom is 442 m /s.

Step by step solution

01

Understanding the concept

We can find the RMS speed using its formula in terms of R, temperature, and molar mass.

The expression for the RMS speed is given by,

v=3RTM

02

Calculate the rms speed of argon atoms

The RMS speed of argon atoms is,

v=3RTM

Molar mass of argon isM=39.95×10-3kg/mol.

v=38.31431339.95×10-3v=442.058           ≈442m/s

Therefore the RMS speed of argon atoms is 442 m /s .

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Most popular questions from this chapter

Question: The molar mass of iodine is 127 g /mol. When sound at frequencyis introduced to a tube of iodine gas at 400 K, an internal acoustic standing wave is set up with nodes separated by 9.57 cm.What is γ for the gas? (Hint: See Problem 91)

Suppose 4.00 molof an ideal diatomic gas, with molecular rotation but not oscillation, experienced a temperature increase of 60.0Kunder constant pressure conditions. What are

  1. The energy transferred as heat Q .
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  3. The work W done by the gas.
  4. The change ΔKin total translational kinetic energy of the gas?

Question: Water bottle in a hot car. In the American southwest, the temperature in a closed car parked in sunlight during the summer can be high enough to burn flesh. Suppose a bottle of water at a refrigerator temperature of 75 0C. Neglecting the thermal expansion of water and the bottle, find the pressure in the air pocket trapped in the bottle. (The pressure can be enough to push the bottle cap past the threads that are intended to keep the bottle closed.)
  1. An ideal gas initially at pressurep0 undergoes free expansion until its volume is 3.00times its initial volume. What then is the ratio of its pressure to p0?
  2. The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is(3.00)1/3p0 . Is the gas monoatomic, diatomic or polyatomic?
  3. What is the ratio of the average kinetic energy per molecule in this final state to that in initial state?

Under constant pressure, the temperature of2.00 molof an ideal monoatomic gas is raised15.0 K. What are

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  4. The changeΔKin the average kinetic energy per atom?
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