document.write( "Question 515108: At constant temperature, the atmospheric pressure p (in Pa) at an altitude h (in m) is given by p = p0e^kh, where p0 is the pressure where h = 0 (atmospheric pressure at sea level). Given that p0 = 101.3 kPa (atmospheric pressure at sea level) and p = 68.9 kPa for h = 3050 m, find the value of k. \n" ); document.write( "
Algebra.Com's Answer #343739 by htmentor(1343)\"\" \"About 
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At constant temperature, the atmospheric pressure p (in Pa) at an altitude h (in m) is given by p = p0e^kh, where p0 is the pressure where h = 0 (atmospheric pressure at sea level). Given that p0 = 101.3 kPa (atmospheric pressure at sea level) and p = 68.9 kPa for h = 3050 m, find the value of k.
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\n" ); document.write( "p = p0e^(kh)
\n" ); document.write( "Rearrange the equation to solve for k:
\n" ); document.write( "p/p0 = e^(kh)
\n" ); document.write( "Take the natural log of both sides:
\n" ); document.write( "ln(p/p0) = kh
\n" ); document.write( "So k = (1/h)*ln(p/p0)
\n" ); document.write( "Putting in the numbers, we get
\n" ); document.write( "k = ln(68.9/101.3)/3050 = -0.0001264 \n" ); document.write( "
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