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Question No 1 for Chemistry 2015

A normal body temperature is

37 to the power of o space C comma space K subscript w space equals space 2.4 space x space 10 to the power of negative sign 14 end exponent. space Calculate space
open square brackets H subscript 3 O to the power of plus sign close square brackets space and space open square brackets O H to the power of minus sign close square brackets space for space the space body space fluid space at space this
temperature space

A point space open square brackets H subscript 3 O to the power of plus sign close square brackets space equals space open square brackets O H to the power of minus sign close square brackets space equals space 2.5 space x space 10 to the power of negative sign 17 end exponent
B point space open square brackets H subscript 3 O to the power of plus sign close square brackets space equals space open square brackets O H to the power of minus sign close square brackets space equals space 1.5 space x space 10 to the power of negative sign 8 end exponent
C point space open square brackets H subscript 3 O to the power of plus sign close square brackets space equals space open square brackets O H to the power of minus sign close square brackets space equals space 1.5 space x space 10 to the power of negative sign 6 end exponent
D point space open square brackets H subscript 3 O to the power of plus sign close square brackets space equals space open square brackets O H to the power of minus sign close square brackets space equals space 1.5 space x space 10 to the power of negative sign 7 end exponent

Answer for question no 1

D point space open square brackets H subscript 3 O to the power of plus sign close square brackets space equals open square brackets O H to the power of minus sign close square brackets space 1.5 space x space 10 to the power of negative sign 7 end exponent

Solution for question no 1

Let space x space space equals space open square brackets H subscript 3 O to the power of plus sign close square brackets space equals space open square brackets O H to the power of minus sign close square brackets space equals space 2.4 space x space 10 to the power of negative sign 14 end exponent
hence space colon space open square brackets x close square brackets space open square brackets x close square brackets space equals space 2.4 space x space 10 to the power of negative sign 14 end exponent space
x squared space equals space 2.4 space x space 10 to the power of negative sign 14 end exponent space
x space space equals space square root of 2.4 space x space 10 to the power of negative sign 14 end exponent end root
X space equals space 1.5 space x space 10 to the power of negative sign 7 end exponent

Answer space is space option space D