A) 1.3R
B) 1.4R
C) 1.7 R
D) 1.97R
E) 1.2R
Correct Answer: C
Solution :
Let for mixture of gases, specific heat at constant volume be\[{{C}_{V}}\]. \[{{C}_{V}}=\frac{{{n}_{1}}{{({{C}_{V}})}_{1}}+{{n}_{2}}{{({{C}_{V}})}_{2}}}{{{n}_{1}}+{{n}_{2}}}\] where for oxygen; \[{{C}_{{{V}_{1}}}}=\frac{5R}{2},{{n}_{1}}=2\,mol\] For helium; \[{{C}_{{{V}_{2}}}}=\frac{3R}{2},{{n}_{2}}=8\,mol\] Therefore, \[{{C}_{V}}=\frac{\frac{2\times 5R}{2}+8\times \frac{3R}{2}}{2+8}\] \[=\frac{17R}{10}=1.7R\]
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