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Answer :
The student's question is about the calculation of the root-mean-square speed of gas molecules in an ideal gas. The calculation involves using the ideal gas law and kinetic energy formula and would require the molar mass of the gas to provide a complete answer.
The student is asking about the root-mean-square (rms) speed of gas molecules in a canister containing an ideal gas under certain conditions.
The ideal gas law, which relates the pressure (P), volume (V), and temperature (T) of an ideal gas with the amount of substance in moles (n) and the ideal gas constant (R), is given by PV = nRT.
To find the rms speed, we need to manipulate this equation along with the formula for the kinetic energy of gas molecules, which is given by (3/2)nRT = (1/2)Nmrms2, where N is the number of molecules and m is the mass of one molecule.
In this case, we first calculate the number of moles (n) of the gas using its mass and molar mass (not provided in the question).
After finding n, we would insert the known values into the ideal gas equation to solve for the temperature (T). Finally, we would use the temperature and other known values to calculate the rms speed using the kinetic energy formula.
As precise calculations cannot be completed without the molar mass of the gas, we'd need that piece of information to conclude the calculation.
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