Aerosol cans carry clear warnings against incineration because of the high pressures that can develop upon heating. Suppose that a can contains a residual amount of gas at a pressure of 755 mmHg and a temperature of 25 °C. What would the pressure be if the can were heated to 1155 °C?
Ch.6 - Gases
Chapter 6, Problem 54
Use the molar volume of a gas at STP to calculate the density (in g/L) of nitrogen gas at STP.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Molar Volume of a Gas
The molar volume of a gas at standard temperature and pressure (STP) is the volume occupied by one mole of an ideal gas, which is approximately 22.4 liters. This value is crucial for calculations involving gases, as it allows for the conversion between moles and volume, facilitating the determination of properties like density.
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Density of a Gas
Density is defined as mass per unit volume, typically expressed in grams per liter (g/L) for gases. To calculate the density of nitrogen gas at STP, one must use the mass of one mole of nitrogen (approximately 28 grams) and divide it by the molar volume (22.4 L), resulting in a density value that reflects how compact the gas is under standard conditions.
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Standard Temperature and Pressure (STP)
STP refers to a standard set of conditions for measuring gases, defined as 0 degrees Celsius (273.15 K) and 1 atmosphere of pressure. These conditions are essential for consistent calculations in gas laws and properties, ensuring that comparisons and calculations involving gases are reliable and standardized across different scenarios.
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