Question:

Which of the following has highest equivalent weight? Given: At.wt \(H=1,\ C=12,\ O=16,\ S=32,\ Na=23,\ Ca=40\)

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Compare equivalent weights by calculating \(\frac{\text{molecular weight}}{n\text{-factor}}\) for each compound.
  • Sulphuric acid
  • Sodium carbonate
  • Sodium sulphate
  • Calcium carbonate
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The Correct Option is C

Solution and Explanation

Concept: Equivalent weight is: \[ \text{Equivalent weight}=\frac{\text{Molecular weight}}{n\text{-factor}} \]

Step 1:
For sulphuric acid: \[ H_2SO_4 \] Molecular weight: \[ 2+32+64=98 \] \(n=2\), so: \[ \text{Eq. wt.}=\frac{98}{2}=49 \]

Step 2:
For sodium carbonate: \[ Na_2CO_3 \] Molecular weight: \[ 46+12+48=106 \] \(n=2\), so: \[ \text{Eq. wt.}=\frac{106}{2}=53 \]

Step 3:
For sodium sulphate: \[ Na_2SO_4 \] Molecular weight: \[ 46+32+64=142 \] \(n=2\), so: \[ \text{Eq. wt.}=\frac{142}{2}=71 \]

Step 4:
For calcium carbonate: \[ CaCO_3 \] Molecular weight: \[ 40+12+48=100 \] \(n=2\), so: \[ \text{Eq. wt.}=\frac{100}{2}=50 \]

Step 5:
Highest equivalent weight is: \[ 71 \] Therefore, \[ \boxed{\text{Sodium sulphate}} \]
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