Question

(a) During an isothermal process, 5.00 J of heat is removed from an ideal gas. Determine the work done in the process and the internal energy change. (b) If the 300 J of work is done in compressing a gas adiabatically, determine the change in internal energy of the gas and amount of heat removed. (c) In an isochoric process, the internal energy of a system decreases by 50.0 J. Determine the work done in the process and the amount of heat exchanged.

Answer #1

1. During an isothermal process, 65.999 J of heat is removed
from an ideal gas. What is the change in internal energy?
2. A heat engine absorbs 183.569 kcal of heat each cycle and
exhausts 11.286 kcal. Calculate the percent efficiency of each
cycle.

Show that the work done by an ideal gas during an isothermal
change of state (from initial state 1 to final state 2), in a
closed container is given by; 1W2=m.R.T(ln(v2/v1))
A piston-cylinder device contains 0.2 kg of air, initially at
27oC and 100 kPa. The air is then slowly compressed in an
isothermal process to a final pressure of 400 kPa.
Determine: (a) The work done during this process, and
(b) The heat transferred.

An ideal gas is compressed from a volume of Vi 5 5.00 L to a
volume of Vf 5 3.00 L while in thermal contact with a heat
reservoir at T 5 295 K as in Figure P12.21. During the compression
process, the piston moves down a distance of d 5 0.130 m under the
action of an average external force of F 5 25.0 kN. Find (a) the
work done on the gas, (b) the change in internal energy...

Three moles of an ideal gas are expanded adiabatically. During
this process, the temperature of the gas decreases from T= 600K to
T= 400K. Find the change in internal energy of gas.

The drawing refers to 4.62 mol of a monatomic ideal gas and
shows a process that has four steps, two isobaric (A to
B, C to D) and two isochoric (B
to C, D to A). (a) What is the work done
from A to B? (b) What is the heat added or
removed from B to C? (c) What is the change in
internal energy from C to D? (d) What is the work
done from D to A?

1A: During a process, 28 J of heat are transferred into
a system, while the system itself does 14 J of work. What is the
change in the internal energy of the system?
__________ J
1B: If the
internal energy of an ideal gas increases by 170 J when 250 J of
work are done to compress it, how much heat is
released?
__________ J
1C: It takes
270 cal to raise the temperature of a metallic ring...

Consider the following four-process cycle that is carried out on
a system of monatomic ideal gas, starting from state 1 in which the
pressure is 88.0 kPa and the volume is 3.00 liters.
Process A is an isothermal process that triples the
volume;
process B is a constant volume process that returns the system to a
pressure of 88.0 kPa;
process C is an isothermal process that returns the system to a
volume of 3.00 liters;
and process D is...

1. Under constant-volume conditions, 4200 J of heat is added to
1.4 moles of an ideal gas. As a result, the temperature of the gas
increases by 103 K. How much heat would be required to cause the
same temperature change under constant-pressure conditions? Do not
assume anything about whether the gas is monatomic, diatomic,
etc.
2. A system gains 3080 J of heat at a constant pressure of 1.36
× 105 Pa, and its internal energy increases by 4160...

Consider the following four-process cycle that is carried out on
a system of monatomic ideal gas, starting from state 1 in which the
pressure is 86.0 kPa and the volume is 2.00 liters.
Process A is an isothermal process that triples the
volume;
process B is a constant volume process that returns the system to a
pressure of 86.0 kPa;
process C is an isothermal process that returns the system to a
volume of 2.00 liters;
and process D is...

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...

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