Advertisements
Advertisements
Question
A ballon has 5.0 g mole of helium at 7°C. Calculate
- the number of atoms of helium in the balloon
- the total internal energy of the system.
Advertisements
Solution
Given, the number of moles of helium = 5
T = 7°C
= 7 + 273
= 280 K
a. Hence, the number of atoms (He is monoatomic)
= Number of moles × Avogadro's number
= 5 × 6.023 × 1023
= 30.015 × 1023
= 3.0 × 1024 atoms
b. Now, average kinetic energy per molecule = `3/2 k_BT`
Here, kB = Boltzmann constant .....(It has only 3 degrees of freedom)
∴ Total energy of all the atoms = Total internal energy
= `3/2 k_B T` × number of atoms
= `3/2 xx 1.38 xx 10^-23 xx 280 xx 3.0 xx 10^24`
= `1.74 xx 10^4` J
APPEARS IN
RELATED QUESTIONS
A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = `"C"_"p"/"C"_"v"`?
A sample of gas consists of μ1 moles of monoatomic molecules, μ2 moles of diatomic molecules and μ3 moles of linear triatomic molecules. The gas is kept at a high temperature. What is the total number of degrees of freedom?
Describe the total degrees of freedom for monoatomic molecule, diatomic molecule and triatomic molecule.
Derive the ratio of two specific heat capacities of monoatomic, diatomic and triatomic molecules.
A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.
A monoatomic gas molecule has ______.
Two monoatomic gas A and B occupying the same volume V are at the same temperature T and pressure P. If they are mixed, the resulting mixture has volume V and temperature T. The pressure of the mixture is:
Which of the following statement given below are correct for monoatomic gas?
I. Cv = `3/2 "R"`
II. Cp = `5/2 "R"`
III. Cp − Cv = 2R
IV. `"C"_"p"/"C"_"v" = 5/3`
Calculate the number of degrees of freedom of molecules of hydrogen in 1 cc of hydrogen gas at NTP.
The average energy for molecules in one degree of freedom is ______.
A gas has n degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be ______.
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (CP) and at constant volume (Cv) is ______.
