document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841871>Question 841871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 60% sulphuric acid solution will be mixed with a 90% sulphuric acid solution to produce 8 L of a 75% solution. how much of each is required </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507230 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=507230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You will need the densities of sulfuric acid solutions.  Check this:<BR>\n" );
document.write( "http://www.chembuddy.com/?left=CASC&right=density_tables\r<BR>\n" );
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document.write( "60%_________1.5031 g/cc<BR>\n" );
document.write( "90%_________1.8197<BR>\n" );
document.write( "Unless you can find another data source (like maybe a handbook), you might try estimating the 75% concentration density, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.615%2B1.7323%29%2F2=1.6736 ALIGN=MIDDLE  ALT=\"%281.615%2B1.7323%29%2F2=1.6736\"   DISABLED_style= \"max-width:90%; height:auto;\" > g/cc, only an estimate or prediction.\r<BR>\n" );
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document.write( "You did not say if your concentrations are w/w or w/v.  You probably expect to use percent w/v.  But the data in the reference source is percents w/w.\r<BR>\n" );
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document.write( "Let x = volume, ml, or the 60%<BR>\n" );
document.write( "Let y = volume, ml, of the 90%<BR>\n" );
document.write( "And assuming volumes are simply additive:\r<BR>\n" );
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document.write( "Pure sulfuric acid:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A1.5031%2A%280.60%29%2By%2A1.8197%2A%280.90%29 ALIGN=MIDDLE  ALT=\"x%2A1.5031%2A%280.60%29%2By%2A1.8197%2A%280.90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > grams of sulfuric acid.<BR>\n" );
document.write( "Volume of 75% solution:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.6736%29%28x%2By%29 ALIGN=MIDDLE  ALT=\"%281.6736%29%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > grams of solution.\r<BR>\n" );
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document.write( "Compose the percentage equation to be all as percent by weight.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2A1.5031%2A%280.60%29%2By%2A1.8197%2A%280.90%29%29%2F%28%281.6736%29%28x%2By%29%29=0.75%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The volume sum equation is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2By=8000%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2By=8000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using milliliters.\r<BR>\n" );
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document.write( "Those two red-highlited equations are the system to solve, for x and y. </SPAN>\n" );
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