At what temperature will the rms speed of air molecules be double that NTP ?
519° C
619° C
719° C
819° C
The equation of state for n moles of an ideal gas is pV = nRT, where R is a constant. The SI unit for R is
Jk-1 per molecule
JK-1 mol-1
JKg-1K-1
Jk-1g-1
One mole of an ideal monoatomic gas is heated at a constant pressure from 0°C to 100°C. Then the change in the internal energy of the gas is (Given, R = 8.32 J mol-1 K-1)
0.83 × 103 J
4.6 × 103 J
2.08 × 103 J
1.25 × 103 J
D.
1.25 × 103 J
We know that ΔU = nCvΔT
where, ΔT = (T2 − T1)
T1 = 0°C = 273 K
T2 = 100°C = 373 K
n = 1 (monoatomic gas)
The rms speed of oxygen is v at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed becomes
v
2 v
4 v