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A flask is filled with gas A. Gas A reacts to form gas B: 2 A(g) B(g). The parti

ID: 876289 • Letter: A

Question

A flask is filled with gas A. Gas A reacts to form gas B: 2 A(g) B(g). The partial pressure of gas A is measured over time and given in the table. Rate = = k. The first data point was collected 10 minutes after reaction begins.

Look at the data carefully to determine the order of reaction for gas A. Give your reasoning below.

Find the rate constant for this reaction.

Calculate the pressure of gas A at t = 200 min.

Determine the pressure of the product gas B at t = 200 min.

t

-10

0

40

80

120

200

PA

-

0.224

0.112

0.075

0.056

?

PB

0

-

-

-

-

?

t

-10

0

40

80

120

200

PA

-

0.224

0.112

0.075

0.056

?

PB

0

-

-

-

-

?

Explanation / Answer

To determine the order, let's assume an order to determinate k. If it's order 1:

LnP = -kt + LnPo

Ln (P/Po) = -kt

Ln (Po/P) / t = k

k1 = ln(0.224/0.112) / 40 = 0.017329

k2 = ln(0.112/0.075) / 40 = 0.010025

k3 = ln(0.075/0.056) / 40 = 0.0073

The values of K are all differents, so the reaction should be of order 2:

1/P - 1/Po = kt

k1 = (1/0.112 - 1/0.224) / 40 = 0.1116

k2 = (1/0.075 - 1/0.112) / 40 = 0.1101

k3 = (1/0.056 - 1/0.075) / 40 = 0.1131

The reaction is order 2 -----> k = 0.1116 min-1

1/P(200) = (1/0.056) + (0.1116x80)

P = 0.037

To determine the pressure of B:

2A = B

i) 2x 0

ii) 2x - y y

The innitial pressure was 0.224 and the final was 0.037. We know that the total pressure is:

Pt = Pa + Pb so

0.037 = 2(0.224 - y) + y

0.037 = 0.448 -2y + y

y = 0.411 = Pb

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