Respuesta :
Answer:
(b) The C3H8 and CH4 molecules have the same average kinetic energy
Explanation:
The expression for the root mean square speed is:
[tex]C_{rms}=\sqrt {\dfrac {3RT}{M}}[/tex]
R is Gas constant having value = 8.314 J / K mol
M is the molar mass of gas
Molar mass of [tex]CO_2[/tex] = 0.04401 kg/mol
Thus, it depends on the molecular mass which is not the same for both species. Hence, a is not the answer.
The expression for the kinetic energy is:-
[tex]K.E.=\frac{3}{2}\times K\times T[/tex]
k is Boltzmann's constant = [tex]1.38\times 10^{-23}\ J/K[/tex]
T is the temperature
Thus, kinetic energy is only proportional to the temperature. Hence, there is same value of kinetic energy for both the gases and hence, b is the answer.
Since, the velocity are different for both gases, the rate cannot be same. Hence, c is not the answer.
Considering ideal gas equation as:
[tex]PV=nRT[/tex]
where,
P is the pressure
V is the volume
n is the number of moles
T is the temperature
R is Gas constant having value = 0.0821 L atm/ K mol
Thus, pressure is directly proportional to the number of moles and hence, they don't not have same pressure. Thus, d is not the answer.
