The r.m.s velocity of oxygen molecule is 400m3-1 at 00c.calculate it's r.m.so velocity at 100c
To calculate the root mean square (r.m.s) velocity of a gas at a different temperature, you can use the following equation:
v2 = v1 * sqrt(T2 / T1)
Where:
v1 = initial r.m.s velocity
T1 = initial temperature (in Kelvin)
T2 = final temperature (in Kelvin)
In this case, we are given:
v1 = 400 m/s
T1 = 0°C (which is 273 K, as 0°C = 273 K)
T2 = 100°C (which is 373 K, as 100°C = 373 K)
Now let's plug these values into the equation and calculate the r.m.s velocity at 100°C:
v2 = 400 m/s * sqrt(373 K / 273 K)
= 400 m/s * sqrt(1.367)
≈ 400 m/s * 1.168
≈ 467.2 m/s
Therefore, the r.m.s velocity of the oxygen molecule at 100°C is approximately 467.2 m/s.