To solve for x, we can start by multiplying both sides of the equation by (-34.5/.08314):
(-34.5/.08314)(1/325-1/x) * (-34.5/.08314) = ln(5/2) * (-34.5/.08314)
This simplifies to:
1/325 - 1/x = (-34.5/.08314) * ln(5/2)
Next, we can add 1/x to both sides of the equation:
1/325 = (-34.5/.08314) * ln(5/2) + 1/x
Then, we can subtract (-34.5/.08314) * ln(5/2) from both sides:
1/x = 1/325 - (-34.5/.08314) * ln(5/2)
Finally, we can take the reciprocal of both sides to solve for x:
x = 1 / (1/325 - (-34.5/.08314) * ln(5/2))
