1.

In a homogeneous reaction A rarr B + C + D, the initial pressure was P_(0) and after time t it was P. Expression for rate constant in terms of P_(0), P and t will be ………………………

Answer»

`K = ((2.303)/(t))LOG((2P_(0))/(3P_(0)-P))`
`k = ((2.303)/(t))log((2P_(0))/(P_(0)-P))`
`k = ((2.303)/(t))log((3P_(0)-P)/(2P_(0)))`
`k = ((2.303)/(t))log((2P_(0))/(3P_(0) - 2P))`

Solution :`{:(,A,rarr,B,C,D),("Initial",a,,0,0,0),("Reacted at time t",x,,x,x,x),("After time t",(a-x),,x,x,x),("Total number of MOLES",=(a+2X),,,,):}`
`a prop P_(0)`
`(a + 2x) prop P`
`(a)/((a + 2x)) = (P_(0))/(P)`
`x = ((P-P_(0))a)/(P_(0))`
`(a-x) = a - (((P-P_(0))a)/(P_(0)))`
`(a-x) = a {(3P_(0) - P)/(2P_(0))}`
`k = ((2.303)/(t))log ((a)/(a-x))`
`k = ((2.303)/(t)) log ((a)/(a{(3p_(0) - P)/(2P_(0))}))`
`k = ((2.303)/(t)) log ((2P_(0))/(3P_(0) - P))`


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