The molecules of a given mass of a gas have root mean square speeds of 100 m/s at 27oC and 1.00 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at 127oC and 2.0 atmospheric pressure?
vrms=100m/s T1=27+273=300K v2rms=? T2=127+273=400K vrms=M3RT M= molar mass of gas for a gas M is constant ∴ vrms∝T v2rmsv1rms=T2T1 v2rms100=400300 v2rms=300100×400=103100×2×10×33=3200×3=3200×1.732 v2rms=115.4ms−1
