The pH factor determines whether a substance is alkaline, neutral or acidic depending if pH is greater than, equal to or less than 7 respectively. If H+ is the hydrogen ion concentration in moles, pH is determined by the formula pH = − log(H + ) . For tomato juice, H+ = 6.3 x 10^-5 moles. In which of the following intervals does pH fall for tomato juice?
A. [1,2]
B. [4,5]
C. [5,6]
D. [11,12]
E. NOTA
Please Explain! Also, No Calculator!

Question

The pH factor determines whether a substance is alkaline, neutral or acidic depending if pH is greater than, equal to or less than 7 respectively. If H+ is the hydrogen ion concentration in moles, pH is determined by the formula pH = − log(H + ) . For tomato juice, H+ = 6.3 x 10^-5 moles. In which of the following intervals does pH fall for tomato juice?
A. [1,2]	
B. [4,5]	
C. [5,6]	
D. [11,12]	
E. NOTA
Please Explain! Also, No Calculator!

anonymous · Answer

the ans would be B.{4,5}

anonymous · Answer

Why?

anonymous · Answer

ph=-log(+h)
    =-log(6.3x10^-5)
    =-[log(6.3 ) + log(10^-5)]
    =-[0.799+ (-5) ]
    = -[-4.2]
    =4.2

anonymous · Answer

I can't use a calculator for this though.

foolaroundmath · Answer

ph = -log([H+])
     = -log(6.3*10^(-5))
     = -[log(6.3) + log(10^-5)]
     = -log(6.3) -(-5)
     = 5 - log(6.3)

Now 1 < 6.3 < 10
so, log1 < log6.3 < log10
=> 0 < log6.3 < 1

thus pH = 5 - x
and x is between 0 and 1
Thus, pH lies in between 4,5

anonymous · Answer

Oh ok. I knew I was close, but I couldn't quite finish it. THanks @FoolAroundMath !