document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108137>Question 1108137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the % w/v of 8g of dextrose in 50ml? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723239 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=723239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you work in a life sciences lab, you find concentrations listed as %w/v sometimes.<BR>\n" );
document.write( "For %w/v, we use grams an milliliters as if they were the same unit.<BR>\n" );
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document.write( "If the total volume of the solution is 50mL,<BR>\n" );
document.write( "then the % w/v is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F50=16%2F100=highlight%28%2216%25%22%29 ALIGN=MIDDLE  ALT=\"8%2F50=16%2F100=highlight%28%2216%25%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is where a math problem ends.<BR>\n" );
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document.write( "That solution will NOT weigh 58 g, so its %w/w would NOT be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8g%2F%2258+g%22=approximately+0.138 ALIGN=MIDDLE  ALT=\"8g%2F%2258+g%22=approximately+0.138\"   DISABLED_style= \"max-width:90%; height:auto;\" > which would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13.8%2F100=%2213.8%25+w%2Fw%22 ALIGN=MIDDLE  ALT=\"13.8%2F100=%2213.8%25+w%2Fw%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That solution will be more dense than water, but not by much.<BR>\n" );
document.write( "Its density at common room temperatures will be 1.06 g/mL. (I look that up when I need to).<BR>\n" );
document.write( "So, your 16% w/v solution would weigh <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850mL%29%28%221.06+g+%2F+mL%22%29=about+52.8g ALIGN=MIDDLE  ALT=\"%2850mL%29%28%221.06+g+%2F+mL%22%29=about+52.8g\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "with a w/w ratio of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F52.8=about0.152 ALIGN=MIDDLE  ALT=\"8%2F52.8=about0.152\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That approximate ratio is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.2%2F100=%2215.2%25%22 ALIGN=MIDDLE  ALT=\"15.2%2F100=%2215.2%25%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and that is the %w/w.\r<BR>\n" );
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document.write( "A DIFFERENT PROBLEM:<BR>\n" );
document.write( "However, if you mix 8g dextrose and 50mL of water, for a final weight of about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6g%2B50g=8g ALIGN=MIDDLE  ALT=\"6g%2B50g=8g\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "that is a different math problem.<BR>\n" );
document.write( "If you are a pharmaceutical formulator or a chemical engineer that is your problem.<BR>\n" );
document.write( "The final volume will be more than 50mL, but not quite 58mL.<BR>\n" );
document.write( "The concentration as %w/w would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8g%2F%2258+g%22=approximately+0.138 ALIGN=MIDDLE  ALT=\"8g%2F%2258+g%22=approximately+0.138\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which is 13.8%w/w.<BR>\n" );
document.write( "A table of densities, or \"specific gravities\" would tell you that its density would be about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%221.06+g+%2F+mL%22 ALIGN=MIDDLE  ALT=\"%221.06+g+%2F+mL%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > too.<BR>\n" );
document.write( "That means its volume would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58g%2F%221.06+g+%2F+mL%22=about54.7mL ALIGN=MIDDLE  ALT=\"58g%2F%221.06+g+%2F+mL%22=about54.7mL\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That would make its  (solute weight)/(total volume) ratio<BR>\n" );
document.write( "about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F54.7=about+0.146 ALIGN=MIDDLE  ALT=\"8%2F54.7=about+0.146\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and its %w/v concentration <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14.6%2F100=%2214.6%25%22 ALIGN=MIDDLE  ALT=\"14.6%2F100=%2214.6%25%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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