"The sun was setting behind the mountain when Isaiah reached the first fields of crops, bordered by low white stone walls. At th
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Answer:
29273.178 joules have been added to the gas for the entire process.
Explanation:
The specific heats of monoatomic gases, measured in joules per mol-Kelvin, are represented by the following expressions:
Isochoric (Constant volume)
(1)
Isobaric (Constant pressure)
(2)
Where is the ideal gas constant, measured in pascal-cubic meters per mol-Kelvin.
Under the assumption of ideal gas, we notice the following relationships:
1) Temperature is directly proportional to pressure.
2) Temperature is directly proportional to volume.
Now we proceed to find all required temperatures below:
(i) <em>Alice heats the gas at constant volume until its pressure is doubled</em>:
(3)
(,
)
(ii) <em>Bob further heats the gas at constant pressure until its volume is doubled</em>:
(4)
(,
)
Finally, the heat added to the gas (), measured in joules, for the entire process is:
(5)
If we know that ,
,
,
and
, the heat added to the gas for the entire process is:
29273.178 joules have been added to the gas for the entire process.