A vessel; at 1000 K contains CO2 with a pressure of 0.5 atm. Some of the CO2 is converted into CO on the addition of graphite. If the total pressure at equilibrium is 0.8 atm, the value of K is:
A
1.8 atm
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B
3 atm
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C
0.3 atm
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D
0.18 atm
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Solution
The correct option is A 1.8 atm CO2+Cgraphite⇌2CO Pinitial0.5atm0 Pfinal(0.5−x)atm2xatm Total P at equilibrium 0.5−x+2x=0.5+xatm 0.8=0.5+x ∴x=0.8−0.5=0.3atm
Now Kp=(PCO)2PCO2 Kp=(2×0.3)2(0.5−0.3)=(0.6)2(0.2)=1.8atm