A sample of NO2 gas in a nonrigid container at a temperature of 24^∘ C occupies a certain volume

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A sample of NO2 gas in a nonrigid container at a temperature...

A sample of $\mathrm{NO}_2$ gas in a nonrigid container at a temperature of $24^{\circ} \mathrm{C}$ occupies a certain volume at a certain pressure. What will be its temperature, in degrees Celsius, in each of the following situations? a. Both pressure and volume are doubled. b. Both pressure and volume are cut in half. c. The pressure is doubled and the volume is cut in half. d. The pressure is cut in half and the volume is tripled.

A sample of $\mathrm{NO}_2$ gas in a nonrigid container at a temperature of $24^{\circ} \mathrm{C}$ occupies a certain volume at a certain pressure. What will be its temperature, in degrees Celsius, in each of the following situations? a. Both pressure and volume are doubled. b. Both pressure and volume are cut in half. c. The pressure is doubled and the volume is cut in half.
d. The pressure is cut in half and the volume is tripled.

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Key Concepts

Direct Proportionality of Temperature to Pressure-Volume Product

In the context of the ideal gas law, the absolute temperature of a gas is directly proportional to the product of its pressure and volume. This concept enables one to determine how changes in pressure and volume affect temperature, by noting that if the product of pressure and volume changes by a certain factor, the temperature (in Kelvin) changes by the same factor.

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental equation in thermodynamics that describes how the pressure, volume, and temperature of an ideal gas are related when the amount of gas is constant. This relationship allows us to predict how the gas’s temperature will change when its pressure and volume are altered.

Temperature Scale Conversion

Accurate application of the ideal gas law requires temperature values in Kelvin, the absolute temperature scale. Converting temperatures from degrees Celsius to Kelvin (by adding 273.15) ensures that calculations reflect the proper proportional relationships in gas behavior.

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