Which one of the following is the correct relation between Cp and Cv for one mole of an ideal gas? (R is molar gas constant)
- Cp=Cv-R
- Cp=Cv+R
- Cp=R-Cv
- Cp=Cv×R
- \(C_P=\frac{C_V}{R}\)
The Correct Option is B
Approach Solution - 1
For an ideal gas, the relation between the heat capacities at constant pressure (\(C_P\)) and constant volume (\(C_V\)) is given by: \[ C_P - C_V = R \] where \( R \) is the universal gas constant. Therefore, the correct relation between \( C_P \) and \( C_V \) is: \[ C_P = C_V + R \]
The correct option is (B) : \(C_p=C_v+R\)
Approach Solution -2
For one mole of an ideal gas, the correct relation between the molar specific heats at constant pressure (Cp) and constant volume (Cv) is given by the equation: Cp = Cv + R Where R is the universal gas constant. This is derived from the first law of thermodynamics and the definitions of specific heat capacities.
Top KEAM Chemistry Questions
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
- $4\, g$ of copper was dissolved in concentrated nitric acid. The copper nitrate solution on strong heating gave $5\, g$ of its oxide. The equivalent weight of copper is :
- Green chemistry deals with
- Neopentyl bromide undergoes dehydrohalogenation to give alkenes even though it has no $\beta$- hydrogen. This is due to
- Plot of $ log\text{ }x/m $ against log $p$ is a straight line inclined at an angle of $ 45{}^\circ $ . When the pressure is $ 0.5 \,arm $ and Freundlich parameter. $ k $ is $ 10 $ , the amount of solute adsorbed per gram of adsorbent will be $ (log\text{ }5=0.6990) $
Top KEAM Thermodynamics Questions
- The heat of atomisation of $PH_3(g)$ and $ P_2H_4(g)$ are $ 954 kJ\, mol^{-1}$ and $1485\, kJ\, mol^{-1}$ respectively .The P-P bond energy in $kJ\, mol^{-1}$ is
- The molar enthalpy of vaporization of water at 1 bar and $100^\circ$C is 41 kJ mol$^{-1}$. What is the internal energy change when 1 mol of water is vaporized at 1 bar pressure and $100^\circ$C? Assume water vapor as a perfect gas. (R = 8.3 J K$^{-1}$ mol$^{-1}$)
Which of the following changes alone would cause increase in the value of the equilibrium constant of the reaction?
\(PCl_5(g) \rightarrow PCl_3(g) + Cl_2(g); \Delta H>0\)For the reaction:
$3Fe_{(s)} + 2O_2{(g)} \rightarrow Fe_3O_4{(s)}$
$\Delta H = -1650\,\text{kJ mol}^{-1}$, $\Delta S = -600\,\text{J K}^{-1} \text{mol}^{-1}$ at $300\,\text{K}$. What is the value of free energy change for the reaction at $300\,\text{K}$?
- The total enthalpy change when 1 mol of water at 100°C and 1 bar pressure is converted to ice at 0°C is:
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$