document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165498>Question 1165498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula C=5/9(F−32)  to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789980 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C = 5/9 * (F - 32) is the formula for converting fahrenheit temperature to celsius temperature.<BR>\n" );
document.write( "fahrenheit freezing point is 32 degrees.<BR>\n" );
document.write( "equivalent celsius freezing point is 5/9 * (F - 32) = 5/9 * 0 = 0.<BR>\n" );
document.write( "fahrenheit boiling point is 212 degrees.<BR>\n" );
document.write( "equivalent celsius boiling point is 5/9 * (212 - 32) = 5/9 * 180 = 100.\r<BR>\n" );
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document.write( "the kelvin temperature is given as always being 273 degrees more than the celsius temperature.\r<BR>\n" );
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document.write( "this means that K = C + 273.<BR>\n" );
document.write( "solve for C to get C = K - 273.\r<BR>\n" );
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document.write( "in the formula of C = 5/9 * (F - 32), replace C with K - 273 to get:<BR>\n" );
document.write( "K - 273 = 5/9 * (F - 32)<BR>\n" );
document.write( "add 273 to both sides of this formula to get:<BR>\n" );
document.write( "K = 5/9 * (F - 32) + 273.\r<BR>\n" );
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document.write( "that gives you the kelvin degrees in terms of fahrenheit degrees.<BR>\n" );
document.write( "since we know that the boiling point in fahrenheit is 212 degrees, then the boiling point in kelvin degrees would be as shown below:<BR>\n" );
document.write( "K = 5/9 * (212 - 32) + 273.<BR>\n" );
document.write( "this gets you K = 373 degrees.<BR>\n" );
document.write( "since we know that the boiling point in celsius degrees is 100, then the boiling point in kelvin is 273 degrees more than that.<BR>\n" );
document.write( "this is consistent with the fact that kelvin degrees are always 273 degrees more than celsius degrees.\r<BR>\n" );
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document.write( "we know that the kelvin degrees in terms of fahrenheit degrees is equal to 5/9 * (F - 32) + 273.\r<BR>\n" );
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document.write( "to find the fahrenheit degrees in terms of kelvin degrees, we has to solve this equation for F.\r<BR>\n" );
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document.write( "start with K = 5/9 * (F - 32) + 273<BR>\n" );
document.write( "subtract 273 from both sides of this equation to get:<BR>\n" );
document.write( "K - 273 = 5/9 * (F - 32)<BR>\n" );
document.write( "multiply both sides of this equation by 9/5 to get:<BR>\n" );
document.write( "9/5 * (K - 273) = F - 32<BR>\n" );
document.write( "add 32 to both sides of this formula to get:<BR>\n" );
document.write( "9/5 * (K - 273) + 32 = F<BR>\n" );
document.write( "the formula for F in terms of K becomes:<BR>\n" );
document.write( "F = 9/5 * (K - 273) + 32\r<BR>\n" );
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document.write( "to see if this is true, let's look at freezing point in kelvin and boiling point in kelvin.<BR>\n" );
document.write( "since kelvin is always 273 degrees more than celsius, we get:<BR>\n" );
document.write( "freezing point of kelvin is 373 degrees and boiling point of kelvin is 373 degrees.\r<BR>\n" );
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document.write( "to find the freezing point in fahrenheit from the freezing point in kelvin, the formula becomes:<BR>\n" );
document.write( "F = 9/5 * (273 - 273) + 32<BR>\n" );
document.write( "this becomes F = 9/5 * 0 + 32 which becomes F = 32.<BR>\n" );
document.write( "since we know this is the freezing point in fahrenheit, the formula is good for the freezing point in fahrenheit based on the freezing point in kelvin.\r<BR>\n" );
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document.write( "to find the boiling point in fahrenheit from the boiling point in kelvin, the formula becomes:<BR>\n" );
document.write( "F = 9/5 * (373 - 273) + 32<BR>\n" );
document.write( "this becomes F = 9/5 * 100 + 32 which becomes F = 180 + 32 which becomes f = 212.<BR>\n" );
document.write( "since we know this is the boiling point in fahrenheit, the formula is good for the boiling point in fahrenheit based on the boiling point in kelvin.\r<BR>\n" );
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document.write( "your solution appears to be F = 9/5 * (K - 273) + 32\r<BR>\n" );
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document.write( "i think we could have arrived at this solution a little less painfully if we had done the following:\r<BR>\n" );
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document.write( "start with C = 5/9 * (F - 32)<BR>\n" );
document.write( "multiply both sides of this formula to 9/5 to get:<BR>\n" );
document.write( "9/5 * C = F - 32<BR>\n" );
document.write( "add 32 to both sides of this equation to get:<BR>\n" );
document.write( "9/5 * C + 32 = F\r<BR>\n" );
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document.write( "the formula for F in terms of C is therefore:<BR>\n" );
document.write( "F = 9/5 * C + 32\r<BR>\n" );
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document.write( "the freezing point in centigrade is 0.<BR>\n" );
document.write( "when C = 0, the formula becomes 9/5 * 0 + 32 = F which becomes 32 = F which is the freezing point in fahrenheit.\r<BR>\n" );
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document.write( "the boiling point in centigrade is 100.<BR>\n" );
document.write( "when C = 100, the formula becomes 9/5 * 100 + 32 = 180 + 32 = 212 = F which is the boiling point in fahrenheit.\r<BR>\n" );
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document.write( "this confirms the formula for F from C is F = 9/5 * C + 32.\r<BR>\n" );
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document.write( "now we know that K is always 273 degrees more than C.<BR>\n" );
document.write( "we get K = C + 273<BR>\n" );
document.write( "solve for C to get C = K - 273<BR>\n" );
document.write( "replace C with K - 273 in the formula of F = 9/5 * C + 32 and we get F = 9/5 * (K = 273) + 32\r<BR>\n" );
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document.write( "this is the same formula we got above with, i believe, a little less pain.<BR>\n" );
document.write( "either way, that's your solution.\r<BR>\n" );
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