The pressure exerted on a sample of a fixed amount of gas is doubled at constant temperature, and then the temperature of the ga
2 answers:
Answer: Option (c) is the correct answer.
Explanation:
Boyle's Law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
(at constant temperature and number of moles)
Charles' Law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.
(at constant pressure and number of moles)
So, when pressure is doubled then volume becomes one-half. But when temperature is doubled then volume will become the same as it was initially.
Thus, we can conclude that the final volume of the gas is the same as the initial volume.
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Answer:
If both the radius and frequency are doubled, then the tension is increased 8 times.
Explanation:
The radial acceleration (), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:
(1)
Where:
- Frequency, measured in hertz.
- Radius of rotation, measured in meters.
From Second Newton's Law, the centripetal acceleration is due to the existence of tension (), measured in newtons, through the string, then we derive the following model:
(2)
Where is the mass of the object, measured in kilograms.
By applying (1) in (2), we have the following formula:
(3)
From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:
(4)
If both the radius and frequency are doubled, then the tension is increased 8 times.