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At constant temperature, in a given mass of an ideal gas
- a)The ratio of pressure and volume always remains constant
- b)Volume always remains constant
- c)Pressure always remains constant
- d)The product of pressure and volume always remains constant
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
At constant temperature, in a given mass of an ideal gasa)The ratio of...
Boyle's law shows that, at constant temperature, the product of an ideal gas's pressure and volume is always constant. It was published in 1662. It can be determined experimentally using a pressure gauge and a variable volume container. It can also be derived from the kinetic theory of gases; if a container, with a fixed number of molecules inside, is reduced in volume, more molecules will hit a given area of the sides of the container per unit time, causing a greater pressure.
As a mathematical equation, Boyle's law is:
p1V1 = p2 V2
Where P is the pressure (Pa), V the volume (m3) of a gas, and k1 (measured in joules) is the constant from this equation-it is not the same as the constants from the other equations below.
This is known as Boyle's law which states: the volume of a given mass of gas is inversely proportional to its pressure, if the temperature remains constant. Mathematically this is:
V = k/p
Where k is a constant of proportionality.
Most Upvoted Answer
At constant temperature, in a given mass of an ideal gasa)The ratio of...
Explanation:
In a given mass of an ideal gas at constant temperature, the product of pressure and volume always remains constant. This is known as Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant.
Boyle's Law:
Boyle's Law states that at constant temperature, the pressure and volume of a given mass of gas are inversely proportional to each other. Mathematically, it can be expressed as:
P1V1 = P2V2
Explanation of the options:
Let's analyze each option to understand why the correct answer is option 'D' - the product of pressure and volume always remains constant.
a) The ratio of pressure and volume always remains constant:
This is not true. In an ideal gas at constant temperature, the ratio of pressure and volume changes as the volume changes. Therefore, this option is incorrect.
b) Volume always remains constant:
This is not true. In an ideal gas at constant temperature, the volume can change as the pressure changes. Therefore, this option is incorrect.
c) Pressure always remains constant:
This is not true. In an ideal gas at constant temperature, the pressure can change as the volume changes. Therefore, this option is incorrect.
Correct option:
d) The product of pressure and volume always remains constant:
This is true according to Boyle's Law. In an ideal gas at constant temperature, as the volume decreases, the pressure increases in such a way that the product of pressure and volume remains constant. Similarly, as the volume increases, the pressure decreases in such a way that the product of pressure and volume remains constant. Therefore, this is the correct option.
Conclusion:
In a given mass of an ideal gas at constant temperature, the product of pressure and volume always remains constant. This is known as Boyle's Law.
In a given mass of an ideal gas at constant temperature, the product of pressure and volume always remains constant. This is known as Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant.
Boyle's Law:
Boyle's Law states that at constant temperature, the pressure and volume of a given mass of gas are inversely proportional to each other. Mathematically, it can be expressed as:
P1V1 = P2V2
Explanation of the options:
Let's analyze each option to understand why the correct answer is option 'D' - the product of pressure and volume always remains constant.
a) The ratio of pressure and volume always remains constant:
This is not true. In an ideal gas at constant temperature, the ratio of pressure and volume changes as the volume changes. Therefore, this option is incorrect.
b) Volume always remains constant:
This is not true. In an ideal gas at constant temperature, the volume can change as the pressure changes. Therefore, this option is incorrect.
c) Pressure always remains constant:
This is not true. In an ideal gas at constant temperature, the pressure can change as the volume changes. Therefore, this option is incorrect.
Correct option:
d) The product of pressure and volume always remains constant:
This is true according to Boyle's Law. In an ideal gas at constant temperature, as the volume decreases, the pressure increases in such a way that the product of pressure and volume remains constant. Similarly, as the volume increases, the pressure decreases in such a way that the product of pressure and volume remains constant. Therefore, this is the correct option.
Conclusion:
In a given mass of an ideal gas at constant temperature, the product of pressure and volume always remains constant. This is known as Boyle's Law.
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At constant temperature, in a given mass of an ideal gasa)The ratio of...
PV= nRT if T is constant so nRT is Consatant so PV is also Constant
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At constant temperature, in a given mass of an ideal gasa)The ratio of pressure and volume always remains constantb)Volume always remains constantc)Pressure always remains constantd)The product of pressure and volume always remains constantCorrect answer is option 'D'. Can you explain this answer?
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