The value of $\gamma\left(=\frac{C_{p}}{C_{y}}\right)$ , for hydrogen, helium and another ideal diatomic gas $X$ (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to :
- $\frac{7 }{5 }, \frac{ 5}{ 3}, \frac{ 9}{7 }$
- $\frac{ 5}{ 3}, \frac{ 7}{ 5}, \frac{ 9}{7 }$
- $\frac{5 }{ 3}, \frac{ 7}{ 5}, \frac{ 7}{5 }$
- $\frac{7 }{5 }, \frac{5 }{3 }, \frac{7 }{5 }$
The Correct Option is A
Solution and Explanation
Helium $\to 5/3$ (monoatomic),
$X \to 9/7$
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Concepts Used:
Specific Heat Capacity
Specific heat of a solid or liquid is the amount of heat that raises the temperature of a unit mass of the solid through 1°C.
Molar Specific Heat:
The Molar specific heat of a solid or liquid of a material is the heat that you provide to raise the temperature of one mole of solid or liquid through 1K or 1°C.
Specific Heat at Constant Pressure or Volume:
The volume of solid remains constant when heated through a small range of temperature. This is known as specific heat at a constant volume. It is denoted as CV.
The pressure of solid remains constant when heated through a small range of temperature. This is known as specific heat at constant pressure which can be denoted as CP.