At what temperature, hydrogen molecules will escape from the earth's surface ? (Take, radius of earth `R_(e)=6.4xx10^(6)m`, mass of hydrogen molecule `m=0.34 xx 10^(-26)`kg, Boltzmann constant `k=1.38xx10^(-23)JK^(-1)` and acceleration due to gravity `= 9.8 xx ms^(-2)`) also take rms speed of gas as `v_(rms) = sqrt((3kT)/(m))`.

Explanation

To determine the temperature at which hydrogen molecules will escape from the Earth's surface, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept**: The escape velocity of a molecule must be equal to its root mean square (rms) speed for it to escape the gravitational pull of the Earth.

2. **Formulas**:
- The rms speed of gas molecules is given by:
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