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28/12/2021 3:09 pm
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For an ideal gas PT3 = constant. Find the coefficient of volume expansion
(a) \(\frac{1}{T}\)
(b) \(\frac{2}{T}\)
(c) \(\frac{3}{T}\)
(d) \(\frac{4}{T}\)
1 Answer
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28/12/2021 4:13 pm
Correct answer: \(\frac{4}{T}\)
Explanation:
Y = \(\frac{1}{v}\)\(\frac{dV}{dt}\)
\(\frac{1}{v}\)T4 = Constant
T4 V-1 = Constant
V-1(4TdT) + T4 (\(\frac{-1}{v^2dV}\)) = 0
\(\frac{dV}{dT}\) = \(\frac{\frac{4T^3}{V}}{\frac{T^4}{V^2}}\)
= \(\frac{4V}{T}\)
∴ Y = \(\frac{4}{T}\)
This post was modified 3 years ago by Reyana09