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Chemistry
Chemistry
Problem
For the elementary step
2
A
(
g
)
+
B
(
g
)
→
C
(
g
)
2\,\mathrm{A}(g)+\mathrm{B}(g)\rightarrow \mathrm{C}(g)
2
A
(
g
)
+
B
(
g
)
→
C
(
g
)
, which differential expression correctly represents the rate of disappearance of
A
\mathrm{A}
A
? a)
−
d
[
A
]
d
t
=
k
[
A
]
2
[
B
]
-\dfrac{d[\mathrm{A}]}{dt}=k[\mathrm{A}]^{2}[\mathrm{B}]
−
d
t
d
[
A
]
=
k
[
A
]
2
[
B
]
b)
−
d
[
A
]
d
t
=
2
k
[
A
]
2
[
B
]
-\dfrac{d[\mathrm{A}]}{dt}=2k[\mathrm{A}]^{2}[\mathrm{B}]
−
d
t
d
[
A
]
=
2
k
[
A
]
2
[
B
]
c)
−
d
[
A
]
d
t
=
2
k
[
A
]
[
B
]
-\dfrac{d[\mathrm{A}]}{dt}=2k[\mathrm{A}][\mathrm{B}]
−
d
t
d
[
A
]
=
2
k
[
A
]
[
B
]
d)
−
d
[
A
]
d
t
=
1
2
k
[
A
]
2
[
B
]
-\dfrac{d[\mathrm{A}]}{dt}=\dfrac{1}{2}k[\mathrm{A}]^{2}[\mathrm{B}]
−
d
t
d
[
A
]
=
2
1
k
[
A
]
2
[
B
]
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