For an ideal gas, the internal energy depends upon its __________ only.
A. Molecular size
B. Temperature
C. Volume
D. Pressure
Answer: Option B
Solution(By Examveda Team)
Actually the internal energy ($$U$$) of a substance is a function of $$dU = CvdT - \left[ {P + T\left( {\frac{{\left( {\frac{{\partial V}}{{\partial T}}} \right)P}}{{\left( {\frac{{\partial V}}{{\partial P}}} \right)T}}} \right)dV} \right]$$For an ideal gas, $$PV = RT$$
So, $$\left( {\frac{{\partial V}}{{\partial T}}} \right)P = \frac{R}{P}$$ and $$\left( {\frac{{\partial V}}{{\partial P}}} \right)T = - \frac{{RT}}{{{P^2}}}$$
Hence, $$dU = CvdT$$
So, Internal energy of an ideal gas is purely a function of temperature. (Here the $${C_V}$$ is considered only as a function of temperature which is satisfied by many of the substances.)
Related Questions on Chemical Engineering Thermodynamics
A. Maxwell's equation
B. Thermodynamic equation of state
C. Equation of state
D. Redlich-Kwong equation of state
Henry's law is closely obeyed by a gas, when its __________ is extremely high.
A. Pressure
B. Solubility
C. Temperature
D. None of these
A. Enthalpy
B. Volume
C. Both A & B
D. Neither A nor B
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