Asksia AI LOGO


青州's Question
Posted 2 months ago

2 attempts left
Check my work
Enter your answer in the provided box.
Calculate the root-mean-square speed of molecular chlorine in m/s\mathbf{m} / \mathrm{s} at 22.0C22.0^{\circ} \mathrm{C}.
\square m/s\mathrm{m} / \mathrm{s}
Sign in to unlock the answer
Answer from Sia
Posted 2 months ago
Convert temperature to Kelvin: The given temperature is 22.0°C. To use this in the root-mean-square speed formula, it must be converted to Kelvin. The conversion formula is T(K)=T(°C)+273.15T(K) = T(°C) + 273.15
Calculate the root-mean-square speed: The root-mean-square speed (vrmsv_{rms}) of a gas can be calculated using the formula vrms=3kTmv_{rms} = \sqrt{\frac{3kT}{m}}, where kk is the Boltzmann constant (1.38×1023J/K1.38 \times 10^{-23} \, \text{J/K}), TT is the temperature in Kelvin, and mm is the mass of one molecule of the gas in kilograms. The molar mass of chlorine (Cl2Cl_2) is approximately 70.9g/mol70.9 \, \text{g/mol}, which needs to be converted to kilograms per molecule for this formula
Perform the calculation: First, convert the molar mass of chlorine to kg per molecule by dividing by Avogadro's number (6.022×1023mol16.022 \times 10^{23} \, \text{mol}^{-1}) and by 1000g/kg1000 \, \text{g/kg} to get the mass in kg. Then, substitute the values into the root-mean-square speed formula and solve for vrmsv_{rms}
[Insert final answer here]
Key Concept
The root-mean-square speed of a gas is calculated using the formula that relates the speed to the temperature and the mass of the gas molecules.
The temperature must be in Kelvin, and the mass of the gas molecules must be in kilograms to use the root-mean-square speed formula correctly.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question