a)A gas undergoes two processes. In the first, the volume remains constant at 0.180 m3 and the pressure increases from 1.50×105 Pa to 6.50×105 Pa . The second process is a compression to a volume of 0.110 m3 at a constant pressure of 6.50×105 Pa . Find the total work done by the gas during both processes. b)The temperature of 0.160 mol of an ideal gas is held constant at 58.0 ∘C while its volume is reduced to a fraction of 30.0 % of its initial volume. The initial pressure of the gas is 1.22 atm . Determine the work done by the gas, what is the change in its internal energy, and Does the gas exchange heat with its surroundings? c)On a warm summer day, a large mass of air (atmospheric pressure 1.01×105Pa) is heated by the ground to a temperature of 27.0 ∘C and then begins to rise through the cooler surrounding air. Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.60×104 Pa . Assume that air is an ideal gas, with γ=1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 ∘C per 100 m of altitude, is called the dry adiabatic lapse rate.) d)During certain seasons strong winds called chinooks blow from the west across the eastern slopes of the Rockies and downhill into Denver and nearby areas. Although the mountains are cool, the wind in Denver is very hot; within a few minutes after the chinook wind arrives, the temperature can climb 20 ∘C ("chinook" is a Native American word meaning "snow eater"). Similar winds occur in the Alps (called foehns) and in southern California (called Santa Anas). Suppose a strong wind is blowing toward Denver (elevation 1630 m) from Grays Peak (80 km west of Denver, at an elevation of 4350 m), where the air pressure is 5.60×104 Pa and the air temperature is -12.0 ∘C . The temperature and pressure in Denver before the wind arrives are 2.0 ∘C and 8.12×104Pa. By how many Celsius degrees will the temperature in Denver rise when the chinook arrives? e) f) g)
a)A gas undergoes two processes. In the first, the volume remains constant at 0.180 m3 and the pressure increases from 1.50×105 Pa to 6.50×105 Pa . The second process is a compression to a volume of 0.110 m3 at a constant pressure of 6.50×105 Pa . Find the total work done by the gas during both processes.
b)The temperature of 0.160 mol of an ideal gas is held constant at 58.0 ∘C while its volume is reduced to a fraction of 30.0 % of its initial volume. The initial pressure of the gas is 1.22 atm . Determine the work done by the gas, what is the change in its internal energy, and Does the gas exchange heat with its surroundings?
c)On a warm summer day, a large mass of air (atmospheric pressure 1.01×105Pa) is heated by the ground to a temperature of 27.0 ∘C and then begins to rise through the cooler surrounding air. Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.60×104 Pa . Assume that air is an ideal gas, with γ=1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 ∘C per 100 m of altitude, is called the dry adiabatic lapse rate.)
d)During certain seasons strong winds called chinooks blow from the west across the eastern slopes of the Rockies and downhill into Denver and nearby areas. Although the mountains are cool, the wind in Denver is very hot; within a few minutes after the chinook wind arrives, the temperature can climb 20 ∘C ("chinook" is a Native American word meaning "snow eater"). Similar winds occur in the Alps (called foehns) and in southern California (called Santa Anas). Suppose a strong wind is blowing toward Denver (elevation 1630 m) from Grays Peak (80 km west of Denver, at an elevation of 4350 m), where the air pressure is 5.60×104 Pa and the air temperature is -12.0 ∘C . The temperature and pressure in Denver before the wind arrives are 2.0 ∘C and 8.12×104Pa. By how many Celsius degrees will the temperature in Denver rise when the chinook arrives?
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