Question:medium
The internal energy of a thermodynamic system is given by \( U = a s^{4/3} v^\alpha \), where \( s \) is entropy, \( v \) is volume, and \( a \) and \( \alpha \) are constants. The value of \( \alpha \) is:
The internal energy of a thermodynamic system is given by \( U = a s^{4/3} v^\alpha \), where \( s \) is entropy, \( v \) is volume, and \( a \) and \( \alpha \) are constants. The value of \( \alpha \) is:
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In dimensional analysis, use the known dimensions of each physical quantity to determine the unknown constant α by ensuring dimensional consistency across the equation.
Updated On: Nov 28, 2025
- 1
- -1
- \(\frac{1}{3}\)
- \(-\frac{1}{3}\)
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