Boyle's law

Select the correct statement of Boyle's law.

Select the correct answer.

 

For a constant mass of gas at a constant temperature, the pressure exerted by the gas is inversely proportional to the volume it occupies.

Charles's law

Select the correct statement of Charles's law.

Select the correct statement.

For a constant mass of gas at a constant pressure, the volume occupied by the gas is proportional to its absolute temperature.

Absolute zero

Select the correct definition of absolute zero temperature.

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Absolute zero is the temperature at which the pressure of an ideal gas becomes zero. This is 0К on the Kelvin temperature scale, which is equivalent to -273 °C.

Absolute temperature

Select the correct definition of absolute temperature.

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Absolute temperature is the Kelvin or thermodynamic temperature scale with zero at -273 °C, the temperature at which the pressure of an ideal gas becomes zero.

Specific heat capacity

How long will a 1.5 kW kettle take to raise the temperature of 1kg of water from 20° C to 100° C? The specific heat capacity of water is \(4200{J\over kg\times K}\).

Select the correct answer.

\(\Delta \theta=100-20 = 80K\)

\(\Delta E = c m \Delta T = 4200*1*80=336000J\)

\(\Delta t=E/P=336000/1500=224s\)

RMS speed

Find the r.m.s. speed of the five molecules of atmospheric oxygen. Velocities of the molecules are: v1 = 500 m/s, v2 = 496 m/s, v3 = 508 m/s, v4 = 503 m/s, v5 = 499 m/s.

Select the correct answer.

 

The root-mean-square speed \(c=\sqrt{v^2_1+v^2_2+v^2_3+v^2_4+v^2_5\over 5}\approx501.217m/s\).

RMS speed - 2

What is the root-mean-square speed of a balloon filled with dioxygen at 20° C? The mass of a dioxygen miolecule is \(5.312\times10^{-26} kg\).

Select the correct answer.

 

\(T = 20+273 =293K\)

\({m<c^2>\over2}={3\over2}kT\)

Root-mean-square speed is \(\sqrt{<c^2>}=\sqrt{3kT \over m}\approx477.865m/s\)

Pressure law

Select the correct definition of pressure law.

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For a constant mass of gas at a constant volume, the pressure exerted by the gas is proportional to its absolute temperature.

Equation of state

Select the correct expression for the equation of state for an ideal gas.

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The equation of state for an ideal gas is \(pV=nRT\). It relates the pressure, volume and temperature of an ideal gas. n is the number of moles of the gas; and R is the Universal gas constant. \(R = 8.31{J\over kg\times mol}\).

Ideal gas

Which of the features listed are wrong for an ideal gas?

Select only wrong options.

An ideal gas would have the following properties:
1    The molecules have zero size.
2    The molecules are identical.
3    The molecules collide with each other and the walls of their containers without any loss of energy, collisions take zero time.
4    The molecules exert no forces on each other, except during collisions.
5    There are enough molecules for statistical laws to be applied.