Advertisements
Advertisements
Question
A vessel of volume V contains a mixture of 1 mole of Hydrogen and 1 mole of Oxygen (both considered as ideal). Let f1(v)dv, denote the fraction of molecules with speed between v and (v + dv) with f2(v)dv, similarly for oxygen. Then ______.
Options
f1(v) + f2(v) = f(v) obeys the Maxwell’s distribution law.
f1(v), f2(v) will obey the Maxwell’s distribution law separately.
Neither f1(v), nor f2(v) will obey the Maxwell’s distribution law.
f2(v) and f1(v) will be the same.
Advertisements
Solution
A vessel of volume V contains a mixture of 1 mole of Hydrogen and 1 mole of Oxygen (both considered as ideal). Let f1(v)dv, denote the fraction of molecules with speed between v and (v + dv) with f2(v)dv, similarly for oxygen. Then f1(v), f2(v) will obey the Maxwell’s distribution law separately..
Explanation:
For a function f(v), the number of molecules n = f(v), which are having speeds between v and v + dv.
For each function f1(v) and f2(v), n will be different. hence each function f1(v) and f2(v) will obey Maxwell's distribution law separately.
APPEARS IN
RELATED QUESTIONS
Which of the following gases has maximum rms speed at a given temperature?
Suppose a container is evacuated to leave just one molecule of a gas in it. Let va and vrms represent the average speed and the rms speed of the gas.
Find the rms speed of hydrogen molecules in a sample of hydrogen gas at 300 K. Find the temperature at which the rms speed is double the speed calculated in the previous part.
Use R=8.314 JK-1 mol-1
The specific heat capacities of hydrogen at constant volume and at constant pressure are 2.4 cal g−1 °C−1 and 3.4 cal g−1 °C−1 respectively. The molecular weight of hydrogen is 2 g mol−1 and the gas constant, R = 8.3 × 107 erg °C−1 mol−1. Calculate the value of J.
Root mean square velocity of a particle is V at pressure P. If pressure is increased two times, then the rms velocity becomes ______.
The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square speed of gas molecules is V, then at 480, it will be ______.
Consider an ideal gas with following distribution of speeds.
| Speed (m/s) | % of molecules |
| 200 | 10 |
| 400 | 20 |
| 600 | 40 |
| 800 | 20 |
| 1000 | 10 |
Calculate Vrms and hence T. (m = 3.0 × 10−26 kg)
Consider an ideal gas with following distribution of speeds.
| Speed (m/s) | % of molecules |
| 20 | 10 |
| 400 | 20 |
| 600 | 40 |
| 800 | 20 |
| 1000 | 10 |
If all the molecules with speed 1000 m/s escape from the system, calculate new Vrms and hence T.
Consider a mixture of gas molecule of types A, B and C having masses mA < mB < mC ratio of their root mean square speeds at normal temperature and pressure is ______.
The root means the square speed of smoke particles of mass 5 × 10-17 kg in their Brownian motion in air at NTP is approximate.
[Given k = 1.38 × 10-23 JK-1]
What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and the oxygen molecule dissociates into atomic oxygen?
For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure and at 227°C; the rms speed of the molecules will be ______.
