Chapter 14 Problem 37. How did they get 94884.6/-30 from ((298.15x328.15))/((298.15-328.15))? When I enter it in my calculator I get -3261.26 where as 94884.6/-30 = -3162.82. When doing the math individually, the denominator I get -30 like theirs but the numerator I get 97837.92 which is different from their answer.Chemistry and Chemical Reactivity, 9th Edition

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Asked Jan 15, 2019
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Chapter 14 Problem 37. How did they get 94884.6/-30 from ((298.15x328.15))/((298.15-328.15))? When I enter it in my calculator I get -3261.26 where as 94884.6/-30 = -3162.82. When doing the math individually, the denominator I get -30 like theirs but the numerator I get 97837.92 which is different from their answer.
Chemistry and Chemical Reactivity, 9th Edition

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Expert Answer

Step 1

The given expression should be solved using BODMAS RULE which stands for Brackets, Of, Division, Multiplication, Addition and Subtraction.

It is the order that should be followed to solve the given expression.

According to this rule, if there is any bracket in the expression one should first solve the bracket followed by the “Of” which represents powers and roots in the expression. After that division, multiplication, addition and subtraction is performed following the same sequence. If incorrect order is followed, one can get a wrong answer.

Step 2

The given expression is equation (1) shown in the white board.

According to the BODMAS rule, first bracket is solved in numerator where multiplication should be performed. After solving the first bracket, one gets the expression (2) as shown in the white board

Again, BODMAS rule is applied on the expression (2) to solve the second bracket in denominator where subtraction should be performed. After solving the second bracket, one gets the expression (3) as shown in the white board.

In the last step, final bracket is solved where division should be performed as shown in the white board.

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Step 3

The value obtained in the last step can be rounded off up to two decimal places.

The obtained value is -3261.24083. To round off the value up to two decimal places, the digit at second decimal place sho...

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