Question

The heating of gas at constant pressure is governed by

• A. Charle's Law
• B. Joule's Law
• C. Boyle's Law
• D. Gay-Lussac Law

Hint:

Gas Laws Summary:
CONSTANT PRESSURE ($P$) $\rightarrow$ CHARLES'S LAW ($V \propto T$).
Constant Temperature ($T$) $\rightarrow$ BOYLE'S LAW ($P \propto 1/V$).
Constant Volume ($V$) $\rightarrow$ GAY-LUSSAC'S LAW ($P \propto T$).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Ideal gas laws: Charles's Law states that at constant pressure, the volume of a given mass of an ideal gas is directly proportional to its absolute thermodynamic temperature ($V \propto T$ or $V/T = C$).
Key Formula or Approach:
\[ \text{Charles's Law (Constant Pressure } P): \quad \frac{V_1}{T_1} = \frac{V_2}{T_2} = \text{Constant} \quad \iff \quad \mathbf{V \propto T} \]

Step 2: Detailed Explanation:
In thermodynamics and gas laws governing pneumatic dairy systems:
1. Charles's Law (Jacques Charles, 1787) (A): States that for a fixed mass of gas at Constant Pressure, the volume ($V$) varies directly with its absolute temperature ($T$) (i.e., heating a gas at constant pressure causes proportional volume expansion, $\frac{V}{T} = \text{constant}$).
2. Boyle's Law: States that at Constant Temperature, volume is inversely proportional to pressure ($P V = \text{constant}$).
3. Gay-Lussac's Law (Pressure Law): States that at Constant Volume, pressure is directly proportional to absolute temperature ($\frac{P}{T} = \text{constant}$).
4. Joule's Law: Internal energy of an ideal gas depends solely on temperature.

Step 3: Final Answer:
Therefore, heating of gas at constant pressure is governed by Charle's Law, corresponding to option (A).