A tank contains oxygen (O₂) at a pressure of 2.00 atm. What is the pressure in the tank in terms of the following units?
b. lb/in.²

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Understand the problem: We are tasked with converting the pressure of oxygen in the tank from atmospheres (atm) to pounds per square inch (lb/in²). This requires using a conversion factor between these two units of pressure.

Recall the conversion factor: 1 atm is equivalent to 14.7 lb/in². This is a standard conversion factor used in pressure unit conversions.

Set up the conversion: Multiply the given pressure in atm (2.00 atm) by the conversion factor (14.7 lb/in² per 1 atm). This can be expressed mathematically as:

2.00 \times 14.7 =

Perform the multiplication: Multiply the numerical values to determine the pressure in lb/in². Ensure that the units of atm cancel out, leaving only lb/in² as the final unit.

Verify the result: Double-check the calculation and ensure the units are consistent. The final pressure should be expressed in lb/in² with the appropriate number of significant figures based on the given data (2.00 atm has 3 significant figures).

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Pressure Units

Pressure is a measure of force applied per unit area. Common units for pressure include atmospheres (atm), pounds per square inch (lb/in²), and pascals (Pa). Understanding how to convert between these units is essential for solving problems involving pressure in different contexts.

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Unit conversion is the process of converting a quantity expressed in one set of units to another. For pressure, converting from atmospheres to pounds per square inch requires knowing the conversion factor, which is 1 atm = 14.696 lb/in². Mastery of unit conversion is crucial for accurately interpreting and solving scientific problems.

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Gas laws describe the behavior of gases under various conditions of pressure, volume, and temperature. While this question focuses on pressure conversion, understanding the ideal gas law (PV=nRT) can provide context for how pressure relates to other properties of gases, which is important in broader applications.

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