Question

Under constant pressure, the temperature of 1.70 mol of an ideal monatomic gas is raised 15.5 K. (a) What is the work W done by the gas? J (b) What is the energy transferred as heat Q? J (c) What is the change ΔEint in the internal energy of the gas? J (d) What is the change ΔK in the average kinetic energy per atom? J

Answer #1

a)At constant pressure, work done by gas

W = nR ΔT

n is number of moles of gas, R (gas constant) = 8.3

so W = 1.7 x 8.3 x 15.5 = 218.7 J

b) At constant pressure Q = n C_{p} ΔT

C_{p} is molar specific heat at constant pressure and =
(f+2)R/f

f is degree of freedom. for monoatomic gas f = 3

So Q = 1.7 x 8.3 x (5/3) 15.5 = 364.5 J

c) Q = ΔE + W

hence ΔE = Q - W = 145.8 J

d) Kinetic energy per atom = f K_{b} T/2

K_{b} = R/N_{a} , N_{a} is avogadro number
( 6.2 x 10^{23} )

so change in KE per atom ΔK = f K_{b} ΔT /2

= 3 x 8.3 15.5 / 2 x 6.2 x
10^{23} = 3.1x10^{-22} J

An ideal monatomic gas expands isothermally from 0.600 m3 to
1.25 m3 at a constant temperature of 730 K. If the initial pressure
is 1.02 ? 105 Pa find the following.
(a) the work done on the gas
J
(b) the thermal energy transfer Q
J
(c) the change in the internal energy
J

2.)1.0 mol sample of an ideal monatomic gas originally at a
pressure of 1 atm undergoes a 3-step process as follows:
(i) It expands
adiabatically from T1 = 588 K to T2 = 389 K
(ii) It is compressed at
constant pressure until its temperature reaches T3 K
(iii) It then returns to its
original pressure and temperature by a constant volume process.
A). Plot these processes on a PV diagram
B). Determine the temperature T3
C)....

An ideal monatomic gas is contained in a vessel of constant
volume 0.330 m3. The initial temperature and pressure of the gas
are 300 K and 5.00 atm, respectively. The goal of this problem is
to find the temperature and pressure of the gas after 24.0 kJ of
thermal energy is supplied to the gas.
(a) Use the ideal gas law and initial conditions to calculate
the number of moles of gas in the vessel. Your response differs
from the...

In a constant-volume process, 208 J of energy is transferred by
heat to 1.08 mol of an ideal monatomic gas initially at 294 K.
(a) Find the work done on the gas.
J
(b) Find the increase in internal energy of the gas.
J
(c) Find its final temperature.
K

3. An ideal monatomic gas expands isothermally from .500 m3 to
1.25 m3 at a constant temperature of 675 K. If the initial pressure
is 1.00 ∙ 105 Pa, find (a) the work done by the gas, (b) the
thermal energy transfer Q, and (c) the change in the internal
energy.

In a constant-volume process, 215 J of energy
is transferred by heat to 1.07 mol of an ideal
monatomic gas initially at 292 K.
(a) Find the work done on the gas.
0 J
(b) Find the increase in internal energy of the gas.
215 J
(c) Find its final temperature.
? K

Three moles of a monatomic ideal gas are heated at a constant
volume of 2.90 m3. The amount of heat added is 5.10 103 J.
(a) What is the change in the temperature of the gas?
_____K
(b) Find the change in its internal energy.
_____J
(c) Determine the change in pressure.
_____Pa

A cylinder contains 1.5 moles of ideal gas, initially at a
temperature of 113 ∘C. The cylinder is provided with a frictionless
piston, which maintains a constant pressure of 6.4×105Pa on the
gas. The gas is cooled until its temperature has decreased to 27∘C.
For the gas CV = 11.65 J/mol⋅K, and the ideal gas
constant R = 8.314 J/mol⋅K.
1.Find the work done by the gas during this process.
2.What is the change in the internal (thermal) energy of...

In this problem, 0.90 mole of a monatomic ideal gas is initially
at 285 K and 1 atm.
(a) What is its initial internal energy?
_____ kJ
(b) Find its final internal energy and the work done by the gas
when 420 J of heat are added at constant pressure.
final internal energy ________kJ
work done by the gas _______kJ
(c) Find the same quantities when 420 J of heat are added at
constant volume.
finale internal energy ________kJ
work...

An ideal diatomic gas contracts in an isobaric process from 1.15
m3 to 0.600 m3 at a constant pressure of 1.70
✕ 105 Pa. If the initial temperature is 445 K, find the
work done on the gas, the change in internal energy, the energy
transfer Q, and the final temperature.
(a) the work done on the gas (in J)
(b) the change in internal energy (in J)
(c) the energy transfer Q (in J)
(d) the final temperature (in...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 4 minutes ago

asked 9 minutes ago

asked 12 minutes ago

asked 23 minutes ago

asked 53 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago