document.write( "Question 159478: To generate hydrogen in a chemical lab, a 40% solution of Sulphuric acid is needed. You have 50ml of an 86% solution of sulphuric acid. How many ml of water should be added to dilute the solution to the required 40% sulphuric acid? \n" ); document.write( "

Algebra.Com's Answer #117587 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(ml of acid in 86% solution)/(ml of 86% solution + added water) = 40%
\n" ); document.write( "Let $\"h\"$ = the ml of water to be added
\n" ); document.write( "The ml of sulphuric acid in 50 ml of 86% solution is:
\n" ); document.write( " $\".86%2A50+=+43\"$ ml
\n" ); document.write( " $\"43+%2F+%2850+%2B+h%29+=+.4\"$
\n" ); document.write( "Multiply both sides by $\"50+%2B+h\"$
\n" ); document.write( " $\"43+=+.4%2A%2850+%2B+h%29\"$
\n" ); document.write( " $\"43+=+20+%2B+.4h\"$
\n" ); document.write( " $\".4h+=+23\"$
\n" ); document.write( " $\"h+=+57.5\"$ ml
\n" ); document.write( "57.5 ml of water must be added to get a 40% solution
\n" ); document.write( "check:
\n" ); document.write( " $\"43+%2F+%2850+%2B+h%29+=+.4\"$
\n" ); document.write( " $\"43+%2F+%2850+%2B+57.5%29+=+.4\"$
\n" ); document.write( " $\"43+%2F+107.5+=+.4\"$
\n" ); document.write( " $\".4+=+.4\"$
\n" ); document.write( "OK \n" ); document.write( "

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