(a) Interpretation: The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined. Concept introduction: The following formula will be used for the corrected counting rate- R c = R x − R b …….. (1) Where, R c = correcting counting rate R x = counting rate for sample R b = counting rate for background

BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213
BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

Solutions

Chapter 32, Problem 32.7QAP
Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=RxRb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=RxRb

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