Question

Ivan heats at constant pressure 2.10 moles of a diatomic gas starting at 300K. For this gas, the molecules vibrate above 500K. A total of 20,000J of heat is put into the gas during this process.

a) Clearly show that the final temperature of the gas is TF = 599K.

b) How many joules of the (20,000J of) heat went into increasing the kinetic energy of translation?

c) How many joules of the heat went into increasing the energies associated with vibration?

d) How many joules of the heat went into increasing the kinetic energy of rotation?

e) What is the total of your energies in parts b), c), and d)?

f) If there is a difference between 20,000J and your answer in part e), what kind of energy did that difference become?

Answer #1

Ivan heats at constant pressure 2.10 moles of a diatomic gas
starting at 300K. For this gas, the molecules vibrate above 500K. A
total of 20,000J of heat is put into the gas during this process.
a) Clearly show that the final temperature of the gas is TF = 599K.
b) How many joules of the (20,000J of) heat went into increasing
the kinetic energy of translation? c) How many joules of the heat
went into increasing the energies associated...

Consider 14.61 moles of an ideal diatomic gas. (a) Find the
total heat capacity of the gas at (i) constant volume and (ii)
constant pressure assuming that the molecules translate and vibrate
but do not rotate. Be sure to clearly explain how the equipartition
of energy is used to solve this problem. (b) Repeat problem (a)
above except assume that the molecules translate, rotate and
vibrate.

Neon gas (a monatomic gas) and hydrogen gas (a diatomic gas) are
both held at constant volume in separate containers. Each container
contains the same number of moles n of each gas. You find
that it takes an input of 300 J of heat to increase the temperature
of the hydrogen by 2.50°C.
Part A
How many modes does a single hydrogen gas molecule have? (Assume
the vibrational modes are "frozen out").
3, all rotational kinetic
6, 3 translational kinetic...

An engine based on 50 moles of diatomic gas tries to split the
difference between the Carnot and Otto cycles and invokes a
three-step design: 1) an adiabatic expansion from 70 K to 350K, 2)
an isothermal compression to the original volume, 3) an
isovolumetric increase of temperature back to the original
state.
a) What is the work done in the adiabatic process?
b) What is the work done in the isorthermal process?
c) What is the heat exhaust in...

2 Equipartition The laws of statistical mechanics lead to a
surprising, simple, and useful result — the Equipartition Theorem.
In thermal equilibrium, the average energy of every degree of
freedom is the same: hEi = 1 /2 kBT. A degree of freedom is a way
in which the system can move or store energy. (In this expression
and what follows, h· · ·i means the average of the quantity in
brackets.) One consequence of this is the physicists’ form of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 1 minute ago

asked 10 minutes ago

asked 10 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 30 minutes ago

asked 33 minutes ago

asked 41 minutes ago

asked 43 minutes ago