Question:
At $T$ (K), a gas obeys kinetic gas equation. At this temperature, for a given number of molecules, PV = x. If the number of molecules is doubled at $T$, then the value of PV would be
At $T$ (K), a gas obeys kinetic gas equation. At this temperature, for a given number of molecules, PV = x. If the number of molecules is doubled at $T$, then the value of PV would be
Show Hint
In $PV = nRT$, if $T$ is constant and $n$ is doubled, $PV$ also doubles.
Updated On: May 12, 2025
- $x$
- $x^2$
- $4x$
- $2x$
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
From the ideal gas law: $PV = nRT$
If temperature $T$ is constant and $n$ is the number of moles (proportional to number of molecules), then doubling the number of molecules doubles $n$
So, $PV \propto n \Rightarrow PV$ becomes $2x$
If temperature $T$ is constant and $n$ is the number of moles (proportional to number of molecules), then doubling the number of molecules doubles $n$
So, $PV \propto n \Rightarrow PV$ becomes $2x$
Was this answer helpful?
0
0
Top Questions on The Kinetic Theory of Gases
- For a particular ideal gas, which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?
- JEE Main - 2025
- Physics
- The Kinetic Theory of Gases
- Let \( \bar{V} \), \( V_{\text{rms}} \), \( V_p \) denote the mean speed, root mean square speed, and most probable speed of the molecules of mass \( m \) in an ideal monoatomic gas at absolute temperature \( T \) Kelvin. Which statement(s) is/are correct?
- WBJEE - 2025
- Physics
- The Kinetic Theory of Gases
- If the mean free path of a gas molecule at 27°C is $ 10 \times 10^{-7} \, \text{m} $, then the mean free path at 87°C is:
- KEAM - 2025
- Physics
- The Kinetic Theory of Gases
- Which of the following graph correctly represents the plots of \(K_H\) at 1 bar gases in water versus temperature?
- JEE Main - 2025
- Chemistry
- The Kinetic Theory of Gases
- The helium and argon are put in the flask at the same room temperature (300 K). The ratio of average kinetic energies (per molecule) of helium and argon is : (Give : Molar mass of helium = 4 g/mol, Molar mass of argon = 40 g/ mol )
- JEE Main - 2025
- Physics
- The Kinetic Theory of Gases
View More Questions
Questions Asked in AP EAPCET exam
Which of the following reactions give phosphine?
i. Reaction of calcium phosphide with water
ii. Heating white phosphorus with concentrated NaOH solution in an inert atmosphere
iii. Heating red phosphorus with alkali- AP EAPCET - 2024
- Chemistry in Everyday Life
- If the plane \[ x - y + z + 4 = 0 \] divides the line joining the points \[ P(2,3,-1) \quad \text{and} \quad Q(1,4,-2) \] in the ratio \( l:m \), then \( l + m \) is:
- AP EAPCET - 2024
- Section Formula
- If \( 5 \sinh x - \cosh x = 5 \), then one of the values of \( \tanh x \) is:
- AP EAPCET - 2024
- Trigonometric Identities
Two statements are given below: Statement-I: The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor.
Statement-II: The RMS velocity of a gas is directly proportional to the square root of \( T(K) \).- AP EAPCET - 2024
- Gas laws
- At 27°C, 100 mL of 0.4 M HCl is mixed with 100 mL of 0.5 M NaOH. To the resultant solution, 800 mL of distilled water is added. What is the pH of the final solution?
- AP EAPCET - 2024
- Acids and Bases
View More Questions