Question

If two moles of diatomic gas and one mole of mono atomic gas are mixed then the ratio of specific heats is -

• A. $\frac{7}{3}$
• B. $\frac{5}{4}$
• C. $\frac{19}{13}$
• D. $\frac{15}{19}$

Answer 1

Answer: (C)

$C_{p_{eq}}=\frac{n_1{C}_{p_1}+n_2{C}_{p_2}}{n_1+n_2}$ $C_{v_{eq}}=\frac{n_1{C}_{v_1}+n_2{C}_{v_2}}{n_1+n_2}$

$r_{eq}=\frac{C_{P_{eq}}}{C_{v_{eq}}}=\frac{2\times \frac{7}{2}+1\times \frac{5}{2}}{2\times \frac{5}{2}+1\times \frac{3}{2}}$

$=\frac{19}{13}$