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At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2?
Most Upvoted Answer
At constant pressure, the ratio of increase in volume of an ideal gas ...
Answer:
To solve this problem, we need to apply the ideal gas law and understand the relationship between temperature and volume of an ideal gas at constant pressure.
1. Ideal Gas Law:
The ideal gas law states that the pressure (P), volume (V), and temperature (T) of an ideal gas are related by the equation: PV = nRT, where n is the number of moles of the gas and R is the ideal gas constant.
2. Relationship between Temperature and Volume:
At constant pressure, the volume and temperature of an ideal gas are directly proportional. This relationship can be expressed as V/T = k, where k is a constant.
3. Ratio of Increase in Volume to Original Volume:
Let's assume the original volume of the gas is V1 and the increase in temperature is ΔT. The final volume of the gas will be V2 = V1 + ΔV, where ΔV is the increase in volume.
Using the relationship V/T = k, we can rewrite it as V1/T1 = V2/T2, where T1 is the original temperature and T2 is the final temperature.
Rearranging the equation, we have V2 = (V1/T1) * T2
The ratio of the increase in volume to the original volume is given by ΔV/V1 = V2/V1 - 1 = [(V1/T1) * T2]/V1 - 1 = T2/T1 - 1 = ΔT/T1
4. Ratio of Increase in Volume to Temperature:
To find the ratio of the increase in volume per degree rise in Kelvin temperature to the original volume, we need to divide the ratio of the increase in volume to the original volume by the increase in temperature.
ΔV/V1 / ΔT = (ΔT/T1) / ΔT = 1/T1
Therefore, the ratio of increase in volume per degree rise in Kelvin temperature to its original volume is 1/T1.
5. Answer:
The correct option is c) 1/T
To solve this problem, we need to apply the ideal gas law and understand the relationship between temperature and volume of an ideal gas at constant pressure.
1. Ideal Gas Law:
The ideal gas law states that the pressure (P), volume (V), and temperature (T) of an ideal gas are related by the equation: PV = nRT, where n is the number of moles of the gas and R is the ideal gas constant.
2. Relationship between Temperature and Volume:
At constant pressure, the volume and temperature of an ideal gas are directly proportional. This relationship can be expressed as V/T = k, where k is a constant.
3. Ratio of Increase in Volume to Original Volume:
Let's assume the original volume of the gas is V1 and the increase in temperature is ΔT. The final volume of the gas will be V2 = V1 + ΔV, where ΔV is the increase in volume.
Using the relationship V/T = k, we can rewrite it as V1/T1 = V2/T2, where T1 is the original temperature and T2 is the final temperature.
Rearranging the equation, we have V2 = (V1/T1) * T2
The ratio of the increase in volume to the original volume is given by ΔV/V1 = V2/V1 - 1 = [(V1/T1) * T2]/V1 - 1 = T2/T1 - 1 = ΔT/T1
4. Ratio of Increase in Volume to Temperature:
To find the ratio of the increase in volume per degree rise in Kelvin temperature to the original volume, we need to divide the ratio of the increase in volume to the original volume by the increase in temperature.
ΔV/V1 / ΔT = (ΔT/T1) / ΔT = 1/T1
Therefore, the ratio of increase in volume per degree rise in Kelvin temperature to its original volume is 1/T1.
5. Answer:
The correct option is c) 1/T
Community Answer
At constant pressure, the ratio of increase in volume of an ideal gas ...
C) 1/T
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At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2?
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At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2?.
At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in Kelvin temperature to its original volume Is(T is absolute temperature of the gas) a) T2 b) T c)1/T d) 1/T2?.
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