Free Printable Differential Rate Equation

1.

When [N] is decreasing at 0.6 M min-1, what is the rate of reaction for 3M +2N $\rightarrow$ P ?

a)

0.3 M min-1

b)

0.25 M min-1

c)

0.6 M min-1

d)

1.2 M min-1

2.

When [B] is decreasing at 0.5 molL-1s-1, how fast is [A] decreasing for A +2B $\rightarrow$ C ?

a)

0.5

b)

0.25

c)

1.0

d)

1.25

3.

Which of the following is NOT the unit for 'time' in reaction rate?

a)

days

b)

months

c)

decades

d)

none of these above

4.

For the reaction:

4NH₃(g) + 5O₂(g) → 4 NO(g) + 6H₂O(g)

the rate of disappearance of oxygen is 0.020 M/s. What is the rate of formation of H₂O?

a)

0.03 Ms^-1

b)

0.02 Ms^-1

c)

0.017 Ms^-1

d)

0.024 Ms^-1

5.

Which of the following is NOT the unit of rate of reaction?

a)

M s^-1

b)

mol dm^-3min^-1

c)

M^-1 s^-1

d)

mol L^-1min^-1

6.

Which of the following is a unit of rate of reaction?

a)

s^-1

b)

Ms^-1

c)

M

d)

M^-1s^-1

7.

For the reaction:

2NH₃(g) → N₂(g) + 3H₂(g)

the rate of disappearance of ammonia is 0.30 M/s. What is the rate of formation of H₂?

a)

0.30 Ms^-1

b)

0.45 Ms^-1

c)

0.20 Ms^-1

d)

0.60 Ms^-1

8.

For X + Y $\rightarrow$ XY, if [XY] is increasing at a rate 0.10 M s-1, predict the rate of depletion of both reactants.

a)

Both have same rate of depletion.

b)

Rate of depletion of X is doubled from Y.

c)

Rate of depletion of X is halved from Y.

d)

The rate of depletion cannot be determined.

9.

For the reaction below, which of the following is the correct differential rate equation?

4NH₃(g) + 5O₂(g) → 4NO(g) + 6H₂O(g)

a)

$rate\ =\ -\frac{\text{d}\left[NH_3\right]}{\text{d}t}=-\frac{\text{d}\left[O_2\right]}{\text{d}t}=\frac{\text{d}\left[NO\right]}{\text{d}t}=\frac{\text{d}\left[H_2O\right]}{\text{d}t}$

b)

$rate\ =\ -\frac{1}{2}\frac{\text{d}\left[NH_3\right]}{\text{d}t}=-\frac{1}{3}\frac{\text{d}\left[O_2\right]}{\text{d}t}=\frac{1}{4}\frac{\text{d}\left[NO\right]}{\text{d}t}=\frac{1}{2}\frac{\text{d}\left[H_2O\right]}{\text{d}t}$

c)

$rate\ =\ \frac{\text{d}\left[NH_3\right]}{\text{d}t}=\frac{\text{d}\left[O_2\right]}{\text{d}t}=-\frac{\text{d}\left[NO\right]}{\text{d}t}=-\frac{\text{d}\left[H_2O\right]}{\text{d}t}$

d)

$rate\ =\ -\frac{1}{4}\frac{\text{d}\left[NH_3\right]}{\text{d}t}=-\frac{1}{5}\frac{\text{d}\left[O_2\right]}{\text{d}t}=\frac{1}{4}\frac{\text{d}\left[NO\right]}{\text{d}t}=\frac{1}{6}\frac{\text{d}\left[H_2O\right]}{\text{d}t}$

10.

Write a balanced chemical equation based on the given differential rate equation:

$rate\ =\ -\frac{\text{d}\left[C_2H_6\right]}{\text{d}t}=\ -\frac{2}{7}\frac{\text{d}\left[O_2\right]}{\text{d}t}=\frac{1}{2}\frac{\text{d}\left[CO_2\right]}{\text{d}t}=\frac{1}{3}\ \frac{\text{d}\left[H_2O\right]}{\text{d}t}$

a)

C2H6 + $\frac{2}{7}$ O2 $\rightarrow$ $\frac{1}{2}$ CO2 + $\frac{1}{3}$ H2O

b)

$\frac{1}{2}$ CO2 + $\frac{1}{3}$ H2O $\rightarrow$ C2H6 + $\frac{2}{7}$ O2

c)

C2H6 + $\frac{7}{2}$ O2 $\rightarrow$ 2 CO2 + 3 H2O

d)

C2H6 +3 O2 $\rightarrow$ 2 CO2 + 3 H2O

Differential Rate Equation

Total questions: 10

Worksheet time: 14mins

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