Hydrogen gas is contained in a closed vessel at 1atm(100kPa) and 300K.(a) Calculate the mean speed of the molecules. (b) Suppose the molecules strike the wall with this speed making an average angle of `45^(@)`with it. How many molecules strike each squre metre of the wall per second?

Explanation

To solve the problem step by step, we will break it down into two parts: calculating the mean speed of hydrogen molecules and then finding the number of molecules striking the wall per second.

### Part (a): Calculate the Mean Speed of the Molecules

1. **Identify the Formula**: The mean speed \( V \) of gas molecules can be calculated using the formula:
\[ V = \sqrt{\frac{8RT}{\pi m}} \]
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