Problem 6

Chemistry Level 2

Borax is a hydrated compound with the following composition:

12.04 % N a ; 11.52 % B ; 29.32 % O ; 47.12 % H X 2 O 12.04\%\text{ } \ce{Na};\text{ }11.52\%\text{ }\ce{B};\text{ }29.32\%\text{ }\ce{O}; \text{ }47.12\%\text{ }\ce{H2O}

From the given percentage composition, what is the empirical formula of borax?

Relative Atomic Masses : B = 10.8; Na = 23.0; O = 16; H = 1.0

N a B X 2 O X 3 5 H X 2 O \ce{NaB2O3}\cdot\ce{5H2O} N a X 2 B X 4 O X 7 10 H X 2 O \ce{Na2B4O7}\cdot\ce{10H2O} N a B X 2 O X 4 10 H X 2 O \ce{NaB2O4}\cdot\ce{10H2O} N a B X 2 O X 4 5 H X 2 O \ce{NaB2O4}\cdot\ce{5H2O}

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2 solutions

Chew-Seong Cheong
Feb 13, 2016

Substituent % by mass Molar mass relative mole ÷ by the lowest × 2 N a 12.04 23 0.523478261 1 2 B 11.52 10.8 1.066666667 2.03765227 4 O 29.32 16 1.8325 3.500622924 7 H X 2 O 47.12 18 2.617777778 5.00073828 10 \begin{array} {lrrrrr} \text{Substituent} & \text{\% by mass} & \text{Molar mass} & \text{relative mole} & \div \text{ by the lowest} & \times 2 \\ \hline \ce{Na} & 12.04 & 23 & 0.523478261 & 1 & 2 \\ \ce{B} & 11.52 & 10.8 & 1.066666667 & 2.03765227 & 4 \\ \ce{O} & 29.32 & 16 & 1.8325 & 3.500622924 & 7 \\ \ce{H2O} & 47.12 & 18 & 2.617777778 & 5.00073828 & 10 \end{array}

The relative moles of the substituent are obtained from % by mass molar mass \dfrac{\text{\% by mass}}{\text{molar mass}} . Then they are divided by the lowest relative moles (which is that of N a \ce{Na} , then × 2 \times 2 to get whole numbers for the formula. Therefore, the formula is N a X 2 B X 4 O X 7 ˙ 10 H X 2 O \boxed{\ce{Na2 B4 O7 \dot{} 10 H2 O}} .

Jitesh Mittal
Jul 30, 2014

Got it correct with memory.... xD

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