- #1
Ling_Ling
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Homework Statement
The rms speed of molecules in a gas at 20.0°C is to be increased by 1.4 percent. To what temperature must it be raised?
k = 1.38E-23 (Boltzmann's Constant)
Ratio in speed: 1.014 : 1
Ratio in Volume: 1.014² = 1.0282 : 1
T1 = 20°C = 293°K
The Volume of 1 mol of an ideal gas is 22.4 L
Homework Equations
v(rms) = √(3kT/m)
KE = ½mv² = 1.5kT
V1²/V2² = T1²/T2²
The Attempt at a Solution
22.4/(22.4*1.0282) = 293²/T2²
.9726 = 293²/T2²
.9726T2² = 293²
T2 = 297.103°K
Am I correct in my thinking?
Thank you.