[Single-digit Integer] A 5.0 l box contains 28.4 g of mixture of gases C_x H_8 and C_x H_10. The pre β States of Matter and Gaseous State Chemistry Question
Question
[Single-digit Integer] A 5.0 l box contains 28.4 g of mixture of gases C_x H_8 and C_x H_10. The pressure of the gas mixture at 300 K is 2.46 atm. The analysis of the gas mixture shows that carbon is 84.5%, by mass. The value of x is
Answer: 0004
π‘ Solution & Explanation
Total moles: $n=PV/RT=2.46\times5/(0.0821\times300)=0.50$ mol. $M_{avg}=28.4/0.50=56.8$ g/mol. Carbon per mole mix $=56.8\times0.845=48$ g $\Rightarrow x=48/12=4$. Answer: $\boxed{4}$ ($C_4H_8$ and $C_4H_{10}$)
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