Question:
What will happen when the pressure is doubled in an isothermal process for a closed system containing a fixed amount of an ideal gas?
What will happen when the pressure is doubled in an isothermal process for a closed system containing a fixed amount of an ideal gas?
Show Hint
"Isothermal" = Constant Temperature. If $P$ goes up, $V$ must go down by the same factor.
Updated On: May 13, 2026
- Volume will double
- Volume will halve
- Temperature will increase slightly
- Temperature will decrease slightly
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
An isothermal process occurs at constant temperature. For an ideal gas, this is governed by Boyle's Law: $P_1V_1 = P_2V_2$.
Step 2: Meaning
Boyle's Law states that pressure and volume are inversely proportional when temperature is held constant ($P \propto 1/V$).
Step 3: Analysis
If the pressure is doubled ($P_2 = 2P_1$), then according to the relation $V_2 = (P_1/P_2)V_1$, we get $V_2 = (P_1/2P_1)V_1 = V_1/2$.
Step 4: Conclusion
Therefore, the volume of the gas will be reduced to half of its initial value. Final Answer: (B)
Was this answer helpful?
0
0
Top GAT B Physics Questions
- A bullet of mass 20 g, moving at 50 m/s penetrates 20 cm into a wooden block. What is the magnitude of the force exerted on the wooden block?
- Assume that a narrow tunnel is dug between two diametrically opposite points on the earth's surface. If a particle is released in this tunnel, it will execute simple harmonic motion. What will be the time period of SHM of this particle?
- The electric charge on a body is always an integral multiple of 'e' where 'e' is the charge that an electron or proton carries. This concept is known as
- A big oil droplet of radius 10 cm is broken into a thousand equal droplets. What will be the gain in surface energy? (Surface tension of the oil is 0.1 N/m)
- A proton and a deuteron moving with equal kinetic energy enter perpendicularly into a magnetic field. What will be the ratio of radii of the circular path of the proton to that of the deuteron?
View More Questions
Top GAT B Thermodynamics Questions
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The major source of energy for the basic functioning of the cell is derived from oxidative metabolism.
Reason R: Mitochondria oxidize substrates to $CO_{2}$, transferring the high energy electron from molecular oxygen to glucose. - A radioactive material has a half life of 10 years. What fraction of radioactive nuclei will remain undecayed with respect to the initial sample after 20 years?
- A solid which is not transparent to visible light and whose conductivity increases with temperature is formed by:
- Cooling water enters the cooling coil of a fermenter at $7$°C and leaves at $27$°C because it picks up the heat generated due to microbial growth. The culture temperature is $37$°C. The average temperature difference which is used to calculate the rate of heat transfer is:
- Given a constant Power number, the power consumption of an agitator having geometric similarity but twice the diameter of a smaller agitator will consume ________ power at the same RPM as the smaller agitator.
View More Questions
Top GAT B Questions
- Which one of the following modifications is NOT a natural N-terminal modification of proteins?
- Bacillus thuringiensis CryA controls certain caterpillar pests by
- Respiratory pathway is considered as a ________ pathway
- Many enzymes catalyze both forward and reverse reactions. Which one of the following statement is NOT correct?
- Which law of thermodynamics states that "energy of an isolated system is constant"?
View More Questions