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A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain?
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A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas a...
To calculate the amount of heat needed to raise the temperature of the gas in the cylinder, we can use the equation:
Q = n * C * ΔT
Where:
Q is the amount of heat (in Joules)
n is the number of moles of gas
C is the molar heat capacity of the gas
ΔT is the change in temperature
First, we need to calculate the molar heat capacity of the gas. For an ideal gas, the molar heat capacity at constant volume (Cv) is given by:
Cv = (f/2) * R
Where:
f is the number of degrees of freedom of the gas molecule
R is the ideal gas constant (8.31 J/(mol·K))
For a monoatomic gas like helium, the number of degrees of freedom is 3 (translational motion in x, y, and z directions). So, we can calculate the molar heat capacity of helium gas at constant volume:
Cv = (3/2) * R = 3 * 8.31 = 24.93 J/(mol·K)
Now, we can calculate the amount of heat needed to raise the temperature of the gas by 20°C (or 20 K):
ΔT = 20 K
Substituting the values into the equation:
Q = 2 mol * 24.93 J/(mol·K) * 20 K
Q = 2 * 24.93 J/K * K
Q = 49.86 J
Therefore, the amount of heat needed to raise the temperature of the gas in the cylinder by 20°C is approximately 49.86 J.
Answer: D. 374 J
Q = n * C * ΔT
Where:
Q is the amount of heat (in Joules)
n is the number of moles of gas
C is the molar heat capacity of the gas
ΔT is the change in temperature
First, we need to calculate the molar heat capacity of the gas. For an ideal gas, the molar heat capacity at constant volume (Cv) is given by:
Cv = (f/2) * R
Where:
f is the number of degrees of freedom of the gas molecule
R is the ideal gas constant (8.31 J/(mol·K))
For a monoatomic gas like helium, the number of degrees of freedom is 3 (translational motion in x, y, and z directions). So, we can calculate the molar heat capacity of helium gas at constant volume:
Cv = (3/2) * R = 3 * 8.31 = 24.93 J/(mol·K)
Now, we can calculate the amount of heat needed to raise the temperature of the gas by 20°C (or 20 K):
ΔT = 20 K
Substituting the values into the equation:
Q = 2 mol * 24.93 J/(mol·K) * 20 K
Q = 2 * 24.93 J/K * K
Q = 49.86 J
Therefore, the amount of heat needed to raise the temperature of the gas in the cylinder by 20°C is approximately 49.86 J.
Answer: D. 374 J
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A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain?
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A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain?.
A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder of fixed capacity of 44.8L,contains 2 moles of helium gas at STP. What is amount of heat needed to raise the temperature of the gas in the cylinder by20 use R=8.31 options A.996J,B.831J,C.498J,D.374J explain?.
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