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At a spot in the high Andes, water boils at 80.0ºC, greatly reducing the cooking speed of potatoes, for example. What is atmospheric pressure at this location?

Short Answer

Expert verified

The atmospheric pressure at the location at which water boils at \({\rm{80}}{\rm{.}}{{\rm{0}}^{\rm{o}}}{\rm{C}}\) is obtained as:\({\rm{4}}{\rm{.73 \times 1}}{{\rm{0}}^{\rm{4}}}{\rm{ Pa}}\).

Step by step solution

01

Step1:Definition of boiling point

The boiling point of water is the temperature at which the water changes into a vapor state. The temperature at which the liquid's vapor pressure equals the atmospheric pressure of the surrounding environment is known as the boiling point.

Here, the boiling point is given as \({\rm{80}}{\rm{.}}{{\rm{0}}^{\rm{o}}}{\rm{C}}\). Water boils at this temperature. At high altitudes, atmospheric pressure is lower, so the boiling point is also lower than normal.

02

Finding atmospheric pressure using the vapor pressure

As per the definition of the boiling point, the atmospheric pressure and vapour pressure will be equal at the boiling point. The vapour pressure corresponding to the boiling point of\({\rm{80}}{\rm{.}}{{\rm{0}}^{\rm{o}}}{\rm{C}}\)is\({\rm{4}}{\rm{.73 \times 1}}{{\rm{0}}^{\rm{4}}}{\rm{ Pa}}\).

Since both are equal, atmospheric pressure is:\({\rm{4}}{\rm{.73 \times 1}}{{\rm{0}}^{\rm{4}}}{\rm{ Pa}}\).

Therefore, the atmospheric pressure at the location is:\({\rm{4}}{\rm{.73 \times 1}}{{\rm{0}}^{\rm{4}}}{\rm{ Pa}}\).

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Most popular questions from this chapter

Question:(a) An automobile mechanic claims that an aluminum rod fits loosely into its hole on an aluminum engine block because the engine is hot and the rod is cold. If the hole is 10.0% bigger in diameter than the 22.0ºC rod, at what temperature will the rod be the same size as the hole? (b) What is unreasonable about this temperature? (c) Which premise is responsible?

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