In an isothermal process on an ideal gas, the pressure increases by 0.5 percent. The volume decreases by about __________ percent.
A. 0.25
B. 0.5
C. 0.75
D. 1
Answer: Option B
Solution(By Examveda Team)
In an isothermal process as we $$PV = {\text{constant}}$$$$ \Rightarrow $$ on applying $$\log $$ we get $$\log P + \log V = \operatorname{log\,Constant} $$ on differentiating we get $$\frac{{dP}}{P} + \frac{{dV}}{V} = 0,$$
So, $$\frac{{dV}}{V} * 100 = - \frac{{dp}}{p} * 100$$ given the pressure has a percentage increase of $$0.5$$
So, the volume will have a percentage decrease of $$0.5.$$
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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