Q. What is the RMS speed of an ideal gas in terms of its temperature and molar mass?
A.sqrt((3RT)/M)
B.sqrt((2RT)/M)
C.sqrt((RT)/M)
D.sqrt((3M)/RT)
Solution
The RMS speed (v_rms) of an ideal gas is given by the formula v_rms = sqrt((3RT)/M), where R is the universal gas constant, T is the absolute temperature, and M is the molar mass.
Q. What is the RMS speed of an ideal gas in terms of temperature and molar mass?
A.sqrt((3RT)/M)
B.sqrt((RT)/M)
C.sqrt((3kT)/m)
D.sqrt((2RT)/M)
Solution
The RMS speed (v_rms) of an ideal gas is given by the formula v_rms = sqrt((3RT)/M), where R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass.
Q. Which of the following gases has the highest RMS speed at the same temperature?
A.Oxygen (O2)
B.Nitrogen (N2)
C.Hydrogen (H2)
D.Carbon Dioxide (CO2)
Solution
RMS speed is inversely proportional to the square root of molar mass. Hydrogen (H2) has the lowest molar mass among the options, thus it has the highest RMS speed.
