Two equal-volume flasks `A` and `B` containing equal masses of `H_(2)` and `CH_(4)` are at `100 K` and `200 K`, respectively. Assuming ideal behaviour, which of the following statements about the compressibility factor (`Z`) is true?

Options

A. `Z` of `H_(2)=Z` of `CH_(4)`
B. `Z` of `H_(2)=4Z` of `CH_(4)`
C. `Z` of `H_(2)=16Z` of `CH_(4)`
D. `Z` of `H_(2)=2Z` of `CH_(4)`

Explanation

To solve the problem regarding the compressibility factor (Z) of hydrogen (H₂) and methane (CH₄) in two equal-volume flasks at different temperatures, we will follow these steps:

### Step 1: Understand the Compressibility Factor (Z)
The compressibility factor (Z) is defined as:
\[ Z = \frac{PV}{nRT} \]
where:
- \( P \) = pressure of the gas,
- \( V \) = volume of the gas,
...