To solve the problem, we need to find the molecular weight of gas Y given that the root mean square (rms) speed of gas X at 400 K is equal to the most probable speed of gas Y at 60 K. 1. Understand the formulas: - The formula for the root mean square speed (u_rms) of a...
Calculating the numerator: 8×8.314×273=18106.944 Calculating the denominator: π×0.028≈0.08796 Now, substituting these values: Vavg=√18106.9440.08796≈√205,526.11≈454.4m/s Step 3: Calculate RMS Velocity (V_rms) Using the formula for RMS velocity: ...
Kinetic Interpretation of Temperature and RMS Speed of Gas Molecules - Learn about the theory of gases, Ideal gas equation, and kinetic interpretation of temperature at BYJU'S.
The root mean square speed of one mole of a monoatomic gas having molecular mass M is Urms. The relation between the average kinetic energy (E ) of the gas and Urms is : View Solution In the formula p=23E, the term (E) represents translational kinetic energy per unit volume of gas...
The formula for the most probable speed of a gas is given by: vmp=√2RTM 5. Calculate v_mp for Gas Y: Using the formula for gas Y: vmp=√2R⋅60M2=√120RM2 6. Set the Two Speeds Equal: According to the problem, the root mean square speed of gas X is equal to the most ...
To calculate the root mean square (rms) velocity of gas molecules given the average velocity, we can use the relationship between the average velocity and rms velocity. The formula is:
In the formulap=23E, the term (E) represents translational kinetic energy per unit volume of gas. In case of monoatomic gas, translational kinetic energy and total kinetic energy are equal. View Solution For one mole of gas the average kinetic energy is given as E. theUrmsof gas is: ...