the root mean square speed of a certain gaseous oxide is 493 m/s at 20 C. what is the molecular formula of the compound.
how is the answer NO???
Did you get 0.030? I suspect you did. The answer is in kg/mol which means 30 g/mol. Then 30-16 means 14 for the other element and that's N. (Note the problem tells us its is an oxide.)
how come it cant be COH2...it has a mm of 30 also right??
it cannot be COH2 because it's an oxide NOT a hyrdoxide. note the difference between the two.
To determine the molecular formula of the compound with the given root mean square speed, we need to use the ideal gas law and the molar mass of the compound.
The ideal gas law equation is:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
Since we know the root mean square speed (rms) of the gas, we can relate it to the temperature (T) using the formula:
rms = sqrt((3RT)/M)
Where:
rms = root mean square speed
R = ideal gas constant
T = temperature
M = molar mass of the compound
We are given:
rms = 493 m/s
T = 20°C = 20 + 273 = 293 K
Now, let's rearrange the formula to solve for the molar mass (M):
M = (3RT)/(rms^2)
Substituting the given values:
M = (3 * R * 293) / (493^2)
The ideal gas constant (R) is approximately 8.314 J/(mol·K), but we need to convert the units of the gas constant to match the given root mean square speed value in m/s. The conversion factor is 1 J = 1 kg·m^2/s^2.
So, converting the units for R:
R = 8.314 J/(mol·K) * (1 kg·m^2/s^2)/(1 J) ≈ 8.314 kg·m^2/(mol·s^2)
Now, we can substitute the values and solve for M:
M = (3 * 8.314 * 293) / (493^2)
Calculating this expression yields a molar mass of approximately 0.028 kg/mol.
Now, to determine the molecular formula of the compound, we need to compare the molar mass with the known molar masses of different elements and their respective molecular ratios.
If the molar mass of the compound is close to the molar mass of a single element, it is possible that the molecular formula is composed of only one element. However, if the molar mass is not close to any single element, it could indicate a compound made up of multiple elements.
Without knowing the exact molar mass, it is difficult to determine the exact molecular formula of the compound. The answer is "NO" likely indicates that the given information is not sufficient to determine the molecular formula.