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Chapter 1: 1.18. (page 13)

Calculate the rms speed of a nitrogen molecule at a room temperature?

Short Answer

Expert verified

The rms speed of a nitrogen molecule at room temperature is 16.34 m/s

Step by step solution

01

Arriving at rms speed by substituting the data ,

Since we are recalculating for Nitrogen molecule the molar mass of N2=28

Substituting all the values ,

Vrms=3脳8.314脳30028

Vrms=16.34m/s

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Most popular questions from this chapter

The Rankine temperature scale(abbreviated 掳R) uses the same scale size degrees as Fahrenheit, but measured up from absolute zero like Kelvin(so Rankine is to Fahrenheit as Kelvin is to Celsius). Find the conversion formula between Rankine and Fahrenheit and also between Rankine and Kelvin. What is the room temperature on the Rankine scale?

The Fahrenheit temperature scale is defined so that ice melts at 320 F and water boils at 2120 F.

(a) Derive the formula for converting from Fahrenheit to Celsius and back

(b) What is absolute zero on the Fahrenheit scale?

Pretend that you live in the 19th century and don't know the value of Avogadro's number* (or of Boltzmann's constant or of the mass or size of any molecule). Show how you could make a rough estimate of Avogadro's number from a measurement of the thermal conductivity of gas, together with other measurements that are relatively easy.

Calculate the total thermal energy in a gram of lead at room temperature, assuming that none of the degrees of freedom are "frozen out" (this happens to be a good assumption in this case).

Problem 1.41. To measure the heat capacity of an object, all you usually have to do is put it in thermal contact with another object whose heat capacity you know. As an example, suppose that a chunk of metal is immersed in boiling water (100掳C), then is quickly transferred into a Styrofoam cup containing 250 g of water at 20掳C. After a minute or so, the temperature of the contents of the cup is 24掳C. Assume that during this time no significant energy is transferred between the contents of the cup and the surroundings. The heat capacity of the cup itself is negligible.

  1. How much heat is lost by the water?
  2. How much heat is gained by the metal?
  3. What is the heat capacity of this chunk of metal?
  4. If the mass of the chunk of metal is 100 g, what is its specific heat capacity?
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