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A mono atomic gas X and a diatomic gas Y, both initially at the same temperature and pressure are compressed adiabatically from a volume V to V/2, which gas will be at higher temperature
- a)X
- b)Y
- c)both the same
- d)can’t say
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A mono atomic gas X and a diatomic gas Y, both initially at the same t...
T1V1^y-1 = T2V2^y-1
therefore t2/t1 = (v1/v2)y-1 =2^y-1
For gas x since the y is more the temperature will also be more for it.
therefore t2/t1 = (v1/v2)y-1 =2^y-1
For gas x since the y is more the temperature will also be more for it.
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A mono atomic gas X and a diatomic gas Y, both initially at the same t...
To determine which gas will be at a higher temperature after adiabatic compression, we can look at the specific heat capacities of the gases.
For a monoatomic gas like gas X, the specific heat capacity at constant volume (Cv) is 3/2R, where R is the gas constant. This means that the internal energy of gas X only depends on its temperature, and not on its volume.
For a diatomic gas like gas Y, the specific heat capacity at constant volume (Cv) is 5/2R, which is higher than the specific heat capacity of gas X. This means that the internal energy of gas Y depends not only on its temperature but also on its volume.
During adiabatic compression, the work done on the gas is equal to the decrease in internal energy. Since the internal energy of gas X only depends on its temperature, the work done on gas X will result in a higher increase in temperature compared to gas Y. Therefore, gas X will be at a higher temperature after adiabatic compression.
So, the answer is a) X.
For a monoatomic gas like gas X, the specific heat capacity at constant volume (Cv) is 3/2R, where R is the gas constant. This means that the internal energy of gas X only depends on its temperature, and not on its volume.
For a diatomic gas like gas Y, the specific heat capacity at constant volume (Cv) is 5/2R, which is higher than the specific heat capacity of gas X. This means that the internal energy of gas Y depends not only on its temperature but also on its volume.
During adiabatic compression, the work done on the gas is equal to the decrease in internal energy. Since the internal energy of gas X only depends on its temperature, the work done on gas X will result in a higher increase in temperature compared to gas Y. Therefore, gas X will be at a higher temperature after adiabatic compression.
So, the answer is a) X.
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A mono atomic gas X and a diatomic gas Y, both initially at the same temperature and pressure are compressed adiabatically from a volume V to V/2, which gas will be at higher temperaturea)Xb)Yc)both the samed)can’t sayCorrect answer is option 'A'. Can you explain this answer?
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