Problem: At what temperature will He atoms have the same Crms value as N2 molecules at 25°C? Solve this problem without calculating the value of Crms for N2. Crms is the root mean square speed.

FREE Expert Solution

root mean square speed (C_rms):

$C_{rms} = \sqrt{\frac{3 RT}{M}}$

µ_rms = rms speed,
R = 8.314 J/(mol·K)
T = temperature, K
M = molar mass, kg/mol

• molar mass of N₂:

$M_{N_{2}} = 28.02 \frac{g}{mol} \times \frac{1 kg}{10^{3} g}$

M_N2 = 0.02802 kg/mol

• molar mass of He:

$M_{N_{2}} = 4.0026 \frac{g}{mol} \times \frac{1 kg}{10^{3} g}$

M_N2 = 4.0026x10^-3 kg/mol

C_rms N₂ = C_rms He

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Problem Details

At what temperature will He atoms have the same C_rms value as N₂ molecules at 25°C? Solve this problem without calculating the value of C_rms for N₂. C_rms is the root mean square speed.

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Problem: At what temperature will He atoms have the same Crms value as N2 molecules at 25°C? Solve this problem without calculating the value of Crms for N2. Crms is the root mean square speed.

FREE Expert Solution

Problem Details

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