The behaviour of ideal gas is goverened by various gas laws which are described by mathematical statements as given below:
(`i`) `PV=k` (constant) at constant `n` and `T`
(`ii`) `V//T=k_(2)` (constant) at constant `n` and `P`
(`iii`) `V//n=k_(3)` (constant) at constant `T` and `P`
(`iv`) `PV=nRT`
(`v`) `P//T=k_(4)` (constant) at constant `n` and `V`
Answer the following
A cylinder of `10 L` capacity at `300 K` containing the gas is used to fill balloons till finally the cylinder recorded a pressure of `10 m` bar. The number of `He` atoms still present in the cylinder is

Options

A. `4.82xx10^(21)`
B. `2.41xx10^(23)`
C. `2.41xx10^(21)`
D. `4.82xx10^(23)`

Explanation

`n=(PV)/(RT)=(10^(-2)xx10)/(0.083xx300)`
`N=nxxN_(A)=(10^(-2)xx10xx6.023xx10^(23))/(0.083xx300)=2.41xx10^(21)`