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Q.

The decomposition of Cl2O7 at 400 K in the gas phase to Cl2 and O2 is a first order reaction. After 55 seconds at 400 K the pressure of Cl2O7 falls from 0.062 to 0.044 atm. The rate constant and pressure of Cl2O7 after 100 sec of decomposition at this temperature are

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a

5.2×10−4sec⁡−1; 0.05 atm

b

6.2×10−3sec⁡−1; 0.033 atm

c

5.8×10−3sec⁡−1; 0.44 atm

d

4.6×10−3sec⁡−1; 0.005 atm

answer is B.

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Detailed Solution

The equation for first order reaction is K=2.303tlog⁡(aa−x)(i) Here a=0.062, a−x=0.044k=2.30355log⁡0.0620.044=6.2×10−3sec⁡−1(ii) Here we are to find the value of a−x6.20×10−3=2.303100log⁡0.062a−xlog⁡0.062a−x=2.69×10−10.062a−x=1.86a−x=0.0621.86=0.033 atm

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