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Question: > When x grams of carbon are heated with y grams of oxygen in a closed vessel, no solid residue is l...

When x grams of carbon are heated with y grams of oxygen in a closed vessel, no solid residue is left behind. Which of the following statements is correct ?

A

y/x must lie between 1.33 and 2.67

B

y/x must be greater than or equal 2.67.

C

y/x must be less than or equal 1.33

D

y/x must be greater than or equal 1.33.

Answer

y/x must be greater than or equal 1.33.

Explanation

Solution

(4)

C + 12\frac{1}{2}O2\longrightarrow CO .... (1)

Initial mole y32\frac{y}{32} 0

final mole 0 y32(x12)12\frac{y}{32} - \left( \frac{x}{12} \right)\frac{1}{2}

CO + 12\frac{1}{2}O2 \longrightarrow CO2 .... (2)

For no solid residue C should be zero in eq. (1)

For that y32x12x12>0\frac{y}{32} - \frac{x}{12}x\frac{1}{2} > 0

y32>x24\frac{y}{32} > \frac{x}{24}

yx>3224\frac{y}{x} > \frac{32}{24}

yx>1.33\frac{y}{x} > 1.33