Advertisements
Advertisements
प्रश्न
Estimate the average thermal energy of a helium atom at room temperature (27 °C).
Advertisements
उत्तर
At room temperature, T = 27°C = 300 K
Average thermal energy = `3/2` kT
Where k is Boltzmann constant = 1.38 × 10–23 m2 kg s–2 K–1
`therefore 3/2kT = 3/2 xx 1.38 xx 10^(-38) xx 300`
= 6.21 × 10–21J
Hence, the average thermal energy of a helium atom at room temperature (27°C) is 6.21 × 10–21 J.
APPEARS IN
संबंधित प्रश्न
Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, 0 °C). Show that it is 22.4 litres
Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 m3 at a temperature of 27 °C and 1 atm pressure
Estimate the average thermal energy of a helium atom at the temperature of 10 million Kelvin (the typical core temperature in the case of a star).
At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at – 20 °C? (atomic mass of Ar = 39.9 u, of He = 4.0 u).
Choose the correct answer:
The graph of PV vs P for gas is
Fill in the blanks:
If the temperature is reduced to half, ………….. would also reduce to half.
A gas occupies 500 cm3 at a normal temperature. At what temperature will the volume of the gas be reduced by 20% of its original volume, the pressure is constant?
Name or state the following:
An equation used in chemical calculations which gives a simultaneous effect of changes of temperature and pressure on the volume of a given mass of dry gas
Name or state the following:
The standard pressure of a gas in cm. of mercury corresponding to one atmospheric pressure.
Give reason for the following:
Volumes of gases are converted into s.t.p. conditions and then compared.
The average energy per molecule is proportional to ______
Show that for monoatomic gas the ratio of the two specific heats is 5:3.
Show that for diatomic gas the ratio of the two specific heats is 7:5.
The equation of state for 2g of oxygen at a pressure 'P' and temperature 'T', when occupying a volume 'V' will be ______.
Estimate the average thermal energy of a helium atom at the temperature on the surface of the Sun (6000 K).
Which of the following diagrams (Figure) depicts ideal gas behaviour?
![]() (a) |
![]() (b) |
![]() (c) |
![]() (d) |
A box of 1.00 m3 is filled with nitrogen at 1.50 atm at 300K. The box has a hole of an area 0.010 mm2. How much time is required for the pressure to reduce by 0.10 atm, if the pressure outside is 1 atm.
The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T. Consider R as universal gas constant. The pressure of the mixture of gases is ______.
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will ______.




