Indicate the correct statement for equal volume of N2(g) and CO2(g) at...
Explanation:
The correct statement for equal volume of N2(g) and CO2(g) at 25C and 1 atm is that the density of N2 is less than that of CO2.
Reasoning:
The density of a gas is directly proportional to its molecular weight. The molecular weight of N2 is 28 g/mol, whereas the molecular weight of CO2 is 44 g/mol. Since the molecular weight of CO2 is greater than that of N2, the density of CO2 is greater than that of N2.
The average translational K.E. per molecule is the same for N2 and CO2:
The average translational kinetic energy per molecule is given by the formula:
1/2 mv2 = (3/2) kT
Where m is the mass of the molecule, v is its velocity, k is the Boltzmann constant, and T is the temperature in kelvin. Since the temperature and the mass of the molecules are the same for both N2 and CO2, the average translational kinetic energy per molecule is also the same.
The rms speed remains same for both N2 and CO2:
The root-mean-square (rms) speed of a gas molecule is given by the formula:
vrms = √(3kT/m)
Where m is the mass of the molecule, k is the Boltzmann constant, and T is the temperature in kelvin. Since the temperature and the mass of the molecules are the same for both N2 and CO2, the rms speed of the molecules is also the same.
The total translational K.E. of both N2 and CO2 is the same:
The total translational kinetic energy of a gas is given by the formula:
KE = (3/2) NkT
Where N is the number of molecules, k is the Boltzmann constant, and T is the temperature in kelvin. Since the temperature and the number of molecules are the same for both N2 and CO2, the total translational kinetic energy of both gases is the same.
Conclusion:
Hence, the correct statement for equal volume of N2(g) and CO2(g) at 25C and 1 atm is that the density of N2 is less than that of CO2.
Indicate the correct statement for equal volume of N2(g) and CO2(g) at...