<p><span class="equation">\(\gamma\)</span>A&nbsp;is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom.&nbsp;<span class="equation">\(\gamma\)</span>B is the&nbsp;specific heat ratio of polyatomic gas B&nbsp; having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If&nbsp;<span class="equation">\(\frac{\gamma{}A}{\gamma{b}} = (1+\frac{1}{n})\)</span>, then the value of n is_____​​​​​​​</p>