Question: 22 gm of $CO_{2}$ at 27<sup>0</sup>C is mixed with 16 gm of $O_{2}$ at 37<sup>0</sup>C. The temp...

Question

22 gm of $CO_{2}$ at 27⁰C is mixed with 16 gm of $O_{2}$ at 37⁰C. The temperature of the mixture is

Answer 1

Let t is the temperature of mixture

Heat gained by $CO_{2}$ = Heat lost by $O_{2}$

⇒ $\mu_{1}C_{v_{1}}\Delta T_{1} = \mu_{2}C_{v_{2}}\Delta T_{2}$

⇒ $\frac{22}{44}(3R)(t - 27) = \frac{16}{32}\left( \frac{5}{2}R \right)(37 - t)$

⇒ $3(t - 27) = \frac{5}{2}(37 - t)$

By solving we get $t = 32{^\circ}C$ .

Question: 22 gm of \(CO_{2}\) at 27<sup>0</sup>C is mixed with 16 gm of \(O_{2}\) at 37<sup>0</sup>C. The temp...