2\ (C_ 51 H_ 98 C_6) + 145\ O_2 arrow 102\ CO_2 + 98\ H_2O + energy...

The respiratory quotient (RQ) is defined as the ratio of the volume of carbon dioxide evolved to the volume of oxygen consumed during respiration.

From the given balanced chemical equation:
Volume of $\text{CO}_2$ evolved $= 102$
Volume of $\text{O}_2$ consumed $= 145$

$\text{RQ} = \dfrac{102}{145} \approx 0.7$

The calculated value of RQ is approximately $0.7$, which lies between $0.5$ and $0.95$.

Answer: Between $0.5$ and $0.95$