The thermal decomposition of dimethyl ethr as measured by finding
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Thermal decomposition, or thermolysis, is a chemical decomposition caused by heat. The decomposition temperature of a substance is the temperature at which the substance chemically decomposes. The reaction is usually endothermic as heat is required to break chemical bonds in the compound undergoing decomposition.
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The unit of rate constant indicates it is first order reaction.
The initial pressure of ether is a=312 mm\ Hga=312mm Hg.
After 390 s, the pressure of ether is a-xa−x.
Total pressure is a-x+x+x+x=a+2xa−x+x+x+x=a+2x.
312+2x=312+96312+2x=312+96
x=49x=49
Thus, the pressure of ether is a-x=312-49=263a−x=312−49=263.
The expression for the rate constant of first order reaction is k=\dfrac {2.303} {t}log \dfrac {a} {a-x}=\dfrac {2.303} {390}log \dfrac {312} {263}=0.000428\ sec^{-1}k=
t
2.303
log
a−x
a
=
390
2.303
log
263
312
=0.000428 sec
−1
.
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