document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085178>Question 1085178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) Equal masses of water at 20 Celsius and iron at 40 Celsius are put together in a Styrofoam cup. The water has a specific heat of 1 cal/g C and the iron has a specific heat of 0.113 cal/g C. What do you think the final temp will be of both the water and the iron in the Styrofoam cup? Show your work.\r<BR>\n" );
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document.write( "B) What would happen if you combined equal masses of liquid water at 10 C with ice at 0 C? What do you think the final temp might be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699221 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) Let x be the final temperature of the mixture<BR>\n" );
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document.write( "The iron is warmer, so its delta temperature is 40 - x<BR>\n" );
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document.write( "The water's delta temperature is x - 20 <BR>\n" );
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document.write( "the energy amount going out of the iron is equal to the energy amount going into the cool water. This means,<BR>\n" );
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document.write( "q(lost) = q(gain)<BR>\n" );
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document.write( "we are given that the mass(m) of the iron is the same as the water<BR>\n" );
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document.write( "we know<BR>\n" );
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document.write( "q = m * delta temperature * specific heat<BR>\n" );
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document.write( "m * (40 - x) * 0.113 = m * (x - 20) * 1<BR>\n" );
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document.write( "now we solve for x<BR>\n" );
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document.write( "4.52 - 0.113x = x - 20<BR>\n" );
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document.write( "-1.113x = -24.52<BR>\n" );
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document.write( "x = 8.1222<BR>\n" );
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document.write( "final temperature is 8.1222 C<BR>\n" );
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document.write( "B) Our balance equation, q(lost) = q(gain) is<BR>\n" );
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document.write( "m * (10 - x) * 1 = m * (x - 0) * 1<BR>\n" );
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document.write( "10 - x = x<BR>\n" );
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document.write( "2x = 10<BR>\n" );
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document.write( "x = 5<BR>\n" );
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document.write( "we expect the final temperature to be 5 C<BR>\n" );
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document.write( " </SPAN>\n" );
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