Question

How many combinations of pressure and volume exist for an ideal gas that has the same average kinetic energy of its molecules?

Answer #1

Infinite combination of pressure and volume are exist that gives the same average kinetic energy of the ideal gas because the formula of kinetic energy of an ideal gas is K.E = 3nRT/2 or 3PV/2

as we can observe that Kinetic energy is directly depends on temperature of the ideal gas and a constant temperature can be obtained from infinite combination of Pressure and volume values (boyel's law ---- pressure is inversely proportional to volume at constant temperature) States the same thing

(a) How many molecules are present in a sample of an ideal gas
that occupies a volume of 3.00 cm3, is at a temperature
of 20°C, and is at atmospheric pressure?
(b) How many molecules of the gas are present if the volume and
temperature are the same as in part (a), but the pressure is now
1.10 ✕ 10−11 Pa (an extremely good vacuum)?

The molecules in an ideal gas at a particular pressure and
volume has a root-mean-square speed of v0. If both the pressure is
of the gas the volume are doubled constant (the number of molecules
is kept constant), the root-mean-square speed of the molecules
becomes

12a. Two moles of an ideal gas are placed in a container whose
volume is 3.7 x 10-3 m3. The absolute pressure of the gas is 7.2 x
105 Pa. What is the average translational kinetic energy of a
molecule of the gas? Number Entry field with incorrect answer now
contains modified data Units Entry field with correct answer
b. Two ideal gases have the same mass density and the same
absolute pressure. One of the gases is helium (He),...

An ideal gas at 300 K has a volume of 15 L at a pressure of 15
atm. Calculate the:
(1)the ﬁnal volume of the system,
(2) the work done by the system,
(3) the heat entering thesystem,
(4) the change in internal energy when the gas undergoes
a.- A reversible isothermal expansion to a pressure of 10
atm
b.- A reversible adiabatic expansion to a pressure of 10
atm.

Estimate the number of molecules in an ideal gas at 2atm
pressure, 1l volume, and 25oC temperature.

A certain ideal gas has atomic mass number 806. A flask of
volume 0.0996 m3 holds this gas under pressure 8.36x105 Pa and
temperature 304 K.
How many molecules are in the flask? Give your answer is
scientific notation.

A balloon has a volume of 1.70×10−2 m3m3 . The
absolute pressure in the balloon is 460 kPakPa and the temperature
is 24 ∘C∘C.
A) Calculate the number of molecules inside the balloon.
B) Calculate the average transitional kinetic energy of
molecules.
C) Determine the total transitional kinetic energy of the
gas.

A balloon has a volume of 1.70 x 10^-2 m^3. The absolute
pressure in the balloon is 460 kPa and the temperature is 22
celsius.
k = 1.38 x 10^-23 J/K
a) How many molecules are there inside the balloon? Express
using three significant figures
b) what is the average translational kinetic energy of
molecules? Express your answer using three significant figures.
c) what is the total translational kinetic energy of the energy
of the gas.

If an ideal gas has a pressure of 8.15 atm, a temperature of
387 K, and a volume of 99.07 L, how many moles of gas are in the
sample?

A cylinder containing an ideal gas has a volume of 2.6 m3 and a
pressure of 1.5× 105 Pa at a temperature of 300 K. The cylinder is
placed against a metal block that is maintained at 900 K and the
gas expands as the pressure remains constant until the temperature
of the gas reaches 900 K. The change in internal energy of the gas
is +6.0× 105 J. How much heat did the gas absorb?
a. 1.4E+6 J
b....

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