You are visiting your relatives in the Los Angeles basin on a warm day in late September. Everyone is talking about how windy and warm it is because of the Santa Ana conditions. In these conditions, winds that normally blow from west to east reverse direction, so that air comes westward over the mountains that surround Los Angeles and down into the basin. As a packet of air descends from a location in the mountains into the basin, it is compressed adiabatically, causing it to become hotter. Suddenly, the conversation stops when someone remembers you are taking physics, and everyone turns to look at you. Your uncle asks you on behalf of the rest of your family to show them a calculation that explains why the Santa Ana winds are so warm. He says that he has been to the Cajon Pass, with an elevation of 1,151 m. Every time he has been there, he has noticed strong winds, especially during Santa Ana conditions, when the air to the east and north of southern California pours westward through the passes. Your aunt is looking on her smartphone and tells you that the atmospheric pressure varies with elevation nearly linearly between sea level and low mountain altitudes, with a reduction of 12 Pa for each meter of increased elevation. Your uncle says that the air temperature was 66.9°F when he was in the Cajon Pass. Everyone starts clamoring and begging you for a calculation that would show the temperature of the air in a Santa Ana wind on that day in the Los Angeles basin. What temperature do you calculate (in °F)? (Assume air is a diatomic gas and that the Los Angeles basin has a pressure of 1 atm.) °F

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You are visiting your relatives in the Los Angeles basin on a warm day in late September. Everyone is talking about how windy and warm it is because of the
Santa Ana conditions. In these conditions, winds that normally blow from west to east reverse direction, so that air comes westward over the mountains that
surround Los Angeles and down into the basin. As a packet of air descends from a location in the mountains into the basin, it is compressed adiabatically, causing
it to become hotter.
Suddenly, the conversation stops when someone remembers you are taking physics, and everyone turns to look at you. Your uncle asks you on behalf of the rest
of your family to show them a calculation that explains why the Santa Ana winds are so warm. He says that he has been to the Cajon Pass, with an elevation of
1,151 m. Every time he has been there, he has noticed strong winds, especially during Santa Ana conditions, when the air to the east and north of southern
California pours westward through the passes.
Your aunt is looking on her smartphone and tells you that the atmospheric pressure varies with elevation nearly linearly between sea level and low mountain
altitudes, with a reduction of 12 Pa for each meter of increased elevation. Your uncle says that the air temperature was 66.9°F when he was in the Cajon Pass.
Everyone starts clamoring and begging you for a calculation that would show the temperature of the air in a Santa Ana wind on that day in the Los Angeles basin.
What temperature do you calculate (in °F)? (Assume air is a diatomic gas and that the Los Angeles basin has a pressure of 1 atm.)
°F
Transcribed Image Text:You are visiting your relatives in the Los Angeles basin on a warm day in late September. Everyone is talking about how windy and warm it is because of the Santa Ana conditions. In these conditions, winds that normally blow from west to east reverse direction, so that air comes westward over the mountains that surround Los Angeles and down into the basin. As a packet of air descends from a location in the mountains into the basin, it is compressed adiabatically, causing it to become hotter. Suddenly, the conversation stops when someone remembers you are taking physics, and everyone turns to look at you. Your uncle asks you on behalf of the rest of your family to show them a calculation that explains why the Santa Ana winds are so warm. He says that he has been to the Cajon Pass, with an elevation of 1,151 m. Every time he has been there, he has noticed strong winds, especially during Santa Ana conditions, when the air to the east and north of southern California pours westward through the passes. Your aunt is looking on her smartphone and tells you that the atmospheric pressure varies with elevation nearly linearly between sea level and low mountain altitudes, with a reduction of 12 Pa for each meter of increased elevation. Your uncle says that the air temperature was 66.9°F when he was in the Cajon Pass. Everyone starts clamoring and begging you for a calculation that would show the temperature of the air in a Santa Ana wind on that day in the Los Angeles basin. What temperature do you calculate (in °F)? (Assume air is a diatomic gas and that the Los Angeles basin has a pressure of 1 atm.) °F
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