To determine the remaining volume of gas in the cylinder after some of it has been used, we can apply Boyle's Law. Boyle's Law states that the pressure of a gas is inversely proportional to its volume, provided the temperature remains constant. Mathematically, Boyle's Law is expressed as:

$P_1 V_1 = P_2 V_2$

Where:

• $P_1$ = initial pressure of the gas
• $V_1$ = initial volume of the gas
• $P_2$ = final pressure of the gas
• $V_2$ = final volume of the gas

Given:

• $P_1 = 670 \text{ mmHg}$
• $V_1 = 25.7 \text{ liters}$
• $P_2 = 595 \text{ mmHg}$
• $V_2 = ?$ (remaining volume of the gas)

We need to find $V_2$. Rearranging Boyle's Law to solve for $V_2$:

$V_2 = \frac{P_1 \times V_1}{P_2}$

Substituting the known values:

$V_2 = \frac{670 \text{ mmHg} \times 25.7 \text{ liters}}{595 \text{ mmHg}}$

Let's calculate $V_2$:

$V_2 \approx \frac{17219 \text{ mmHg \cdot liters}}{595 \text{ mmHg}} \approx 28.93 \text{ liters}$

Final Answer: The remaining volume of gas in the cylinder is approximately 28.93 liters.

Recommendations for Control Measures:

1. Storage Conditions: Ensure that the gas cylinders are stored in a well-ventilated area away from direct sunlight or heat sources to prevent pressure build-up.

2. Pressure Monitoring: Regularly monitor the pressure of the cylinders using pressure gauges to detect any abnormal changes that could indicate leaks or over-pressurization.

3. Safety Valves: Equip the cylinders with safety valves that can release excess pressure automatically if it exceeds safe limits.

4. Labeling and Signage: Clearly label all gas cylinders with their contents and pressures, and provide safety signage in the storage area to indicate the presence of pressurized gas.

5. Training: Ensure that all personnel handling the gas cylinders are properly trained in safe handling practices, including the use of pressure regulators and emergency procedures.

Would you like more details or have any questions?

Related Questions:

1. How does temperature affect the pressure and volume of a gas according to the combined gas law?
2. What are the safety protocols for handling gas cylinders in confined spaces?
3. How do you calculate the amount of gas used from a cylinder given the initial and final pressures?
4. What are the potential hazards of over-pressurized gas cylinders?
5. How do safety valves work to prevent gas cylinder explosions?

Tip:

Always ensure that gas cylinders are secured in an upright position to prevent them from tipping over and potentially damaging the valve, which could lead to a dangerous release of gas.