Answer :
To calculate the molar mass of a gas with a root mean square velocity, use the equation M = (3RT)/Urms², where M is the molar mass, R is the ideal gas constant, T is the temperature, and Urms is the root mean square velocity.
Plug in the values given and solve to find the molar mass. Therefore, the correct answer is M = 131.32 g/mol.
To calculate the molar mass of a gas with a root mean square velocity, we can use the equation:
M = (3RT)/Urms²
Where M is the molar mass, R is the ideal gas constant, T is the temperature in Kelvin, and Urms is the root mean square velocity.
Given that the root mean square velocity is 269 m/s and the temperature is 381 K, we can substitute these values into the equation to find the molar mass:
M = (3 * 8.314 J/(mol*K) * 381 K) / (269 m/s)²
M = 131.32 g/mol
