`A` vessel contains `X` moles of `H(g)` at P atm `&` T.K. If radiation is used to excite these H-atoms from ground state to nth excited state find total energy (in joules) required in form of radiations?

Explanation

To solve the problem of finding the total energy required to excite `X` moles of hydrogen atoms from the ground state to the nth excited state, we can follow these steps:

### Step 1: Understand the Energy Levels of Hydrogen
The energy levels of a hydrogen atom are given by the formula:
\[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \]
where \( n \) is the principal quantum number. The ground state corresponds to \( n = 1 \) and the nth excited state corresponds to \( n \).

### Step 2: Calculate the Energy Difference
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