Chapter 20: The Micro/Macro Connection

A $10g$ sample of neon gas has $1700J$ of thermal energy. Estimate the average speed of a neon atom.

The rms speed of the atoms in a $2.0g$ sample of helium gas is $700\mathrm{m}/\mathrm{s}$. What is the thermal energy of the gas?

A $6.0\mathrm{m}\times 8.0\mathrm{m}\times 3.0\mathrm{m}$ room contains air at ${20}^{O}C$. What is the room's thermal energy?

The thermal energy of $1.0Mol$ of a substance is increased by $1.0J$. What is the temperature change if the system is (a) a monatomic gas, (b) a diatomic gas, and (c) a solid?

At what pressure will the mean free path in room-temperature $\left(20°\mathrm{C}\right)$nitrogen be $1.0\mathrm{m}$?

The density of air at STP is about $\frac{1}{1000}$the density of water. How does the average distance between air molecules compare to the average distance between water molecules? Explain.

What is the thermal energy $100c{m}^3$ of aluminum at ${100}^{0}c$ ?

$1.0mol$of a monatomic gas interacts thermally with $1.0mol$ of an elemental solid. The gas temperature decreases by ${50}^{o}C$ at constant volume. What is the temperature change of the solid?

A cylinder of nitrogen gas has a volume of $15,000c{m}^3$and a pressure of$100$ atm.
a. What is the thermal energy of this gas at room temperature$\left({20}^{\circ }C\right)$?
b. What is the mean free path in the gas?
c. The valve is opened and the gas is allowed to expand slowly and isothermally until it reaches a pressure of $1.0$atm . What is the change in the thermal energy of the gas?

A rigid container holds $0.20g$of hydrogen gas. How much heat is needed to change the temperature of the gas

a.From$50K$ torole="math" localid="1648534484983" $100K?$

b.From localid="1648534491176" $250K$to localid="1648534494324" $300K?$

c.From localid="1648534497013" $2250K$to localid="1648534500972" $2300K?$