Question

A gas bottle contains 4.90×10^{23} Hydrogen molecules at
a temperature of 368.0 K. What is the thermal energy of the gas?
(You might need to know Boltzmann's constant: k_{B} =
1.38×10^{-23} J/K.)

Tries 0/12 |

How much energy is stored in ONE degree of freedom for the whole system?

Tries 0/12 |

What is the average energy of a single molecule?

Tries 0/12 |

On average how much energy is stored by ONE degree of freedom for ONE single molecule?

Answer #1

A gas bottle contains 9.94×1023 Hydrogen molecules at a
temperature of 339.0 K. What is the thermal energy of the gas? (You
might need to know Boltzmann's constant: kB = 1.38×10-23 J/K.)
Tries 0/20
How much energy is stored in ONE degree of freedom for the whole
system? Tries 0/20
What is the average energy of a single molecule? Tries 0/20
On average how much energy is stored by ONE degree of freedom
for ONE single molecule? Tries 0/20

A gas bottle contains 5.40×1023 Hydrogen molecules at a
temperature of 350 K. What is the thermal energy of the gas? (You
might need to know Boltzmann's constant: kB = 1.38×10-23 J/K.)
Answer: 6.52×103 J
How much energy is stored in ONE degree of freedom for the whole
system?
What is the average energy of a single molecule?
Answer: 1.21×10-20 J
On average how much energy is stored by ONE degree of freedom
for ONE single molecule?

A gas bottle contains 6.56×1023 Nitrogen molecules at
a temperature of 375.0 K. What is the thermal energy of the gas?
(You might need to know Boltzmann's constant: kB =
1.38×10-23 J/K.)
How much energy is stored in ONE degree of freedom for the whole
system?
What is the average energy of a single molecule?
On average how much energy is stored by ONE degree of freedom
for ONE single molecule?

1-
A) A gas bottle contains 7.15×1023 Nitrogen molecules
at a temperature of 342.0 K. What is the thermal energy of the gas?
(You might need to know Boltzmann's constant: kB =
1.38×10-23 J/K.)
B) How much energy is stored in ONE degree of freedom for the
whole system?
C) What is the average energy of a single molecule?
D) On average how much energy is stored by ONE degree of freedom
for ONE single molecule?

n = 3.39 mol of Hydrogen gas is initially at T = 364.0 K
temperature and pi = 3.36×105 Pa pressure.
The gas is then reversibly and isothermally compressed until its
pressure reaches pf = 9.88×105 Pa. What is
the volume of the gas at the end of the compression process?
Tries 0/12
How much work did the external force perform?
Tries 0/12
How much heat did the gas emit?
Tries 0/12
How much entropy did the gas emit?
Tries...

n = 4.42 mol of Hydrogen gas is initially at T = 304.0 K
temperature and pi = 3.23×105 Pa pressure.
The gas is then reversibly and isothermally compressed until its
pressure reaches pf = 8.93×105 Pa. What is
the volume of the gas at the end of the compression process?
Tries 0/12
How much work did the external force perform?
Tries 0/12
How much heat did the gas emit?
Tries 0/12
How much entropy did the gas emit?
Tries...

Suppose that 4.8 moles of an ideal diatomic gas has a
temperature of 1061 K, and that each molecule has a mass 2.32 ×
10-26 kg and can move in three dimensions, rotate in two
dimensions, and vibrate in one dimension as the bond between the
atoms stretches and compresses. It may help you to recall that the
number of gas molecules is equal to Avagadros number (6.022 × 1023)
times the number of moles of the gas.
a) How...

n = 3.71 mol of Hydrogen gas is initially at T = 300.0 K
temperature and pi = 2.78×105 Pa pressure.
The gas is then reversibly and isothermally compressed until its
pressure reaches pf = 9.52×105 Pa. What is
the volume of the gas at the end of the compression process?
Tries 0/20
How much work did the external force perform?
Tries 0/20
How much heat did the gas emit?
Tries 0/20
How much entropy did the gas emit?
Tries...

n = 3.63 mol of Hydrogen gas is initially at T = 316.0 K
temperature and pi = 2.58×105 Pa pressure.
The gas is then reversibly and isothermally compressed until its
pressure reaches pf = 8.99×105 Pa. What is
the volume of the gas at the end of the compression process?
Tries 0/20
How much work did the external force perform?
Tries 0/20
How much heat did the gas emit?
Tries 0/20
How much entropy did the gas emit?
Tries...

An insulated bottle contains 1 mole of hydrogen gas at P=1 atm
and T=300K. Using a magic wand, you order all covalent bonds in the
H2 molecules to break instantly. Assume that the magic wand
supplies precisely the amount of energy necessary to br eak the
bond in every molecule and makes them chemically inert (so they
cant recombine) but does not affect the hydrogen otherwise. When
the new equilibrium is established,
a) What is the new temperature of the...

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