For a monatomic ideal gas, the ratio of specific heats (γ) is approximately: (20

For a monatomic ideal gas, the ratio of specific heats (γ) is approximately: (2019)

For a monatomic ideal gas, the ratio of specific heats (γ) is approximately: (2019)

Step 1: Understand that a monatomic ideal gas consists of single atoms, like helium or neon.
Step 2: Learn about specific heats: C_p is the specific heat at constant pressure, and C_v is the specific heat at constant volume.
Step 3: Know that for a monatomic ideal gas, the ratio of specific heats (γ) is defined as γ = C_p / C_v.
Step 4: Remember the values for a monatomic ideal gas: C_p = 5/2 R and C_v = 3/2 R, where R is the gas constant.
Step 5: Calculate γ by substituting the values: γ = (5/2 R) / (3/2 R).
Step 6: Simplify the equation: γ = (5/2) / (3/2) = 5/3.
Step 7: Conclude that for a monatomic ideal gas, γ is approximately 5/3, which is equal to 1.67.

Specific Heats – The specific heats at constant pressure (C_p) and constant volume (C_v) are fundamental properties of gases that relate to their thermal behavior.
Monatomic Ideal Gas – A monatomic ideal gas consists of single atoms and follows the ideal gas law, with specific heat ratios that can be derived from kinetic theory.
Ratio of Specific Heats (γ) – The ratio of specific heats (γ) is a dimensionless number that indicates the relationship between the heat capacities of a gas and is crucial for understanding thermodynamic processes.