Question:
A vessel containing \(10\) liters of an ideal gas at a pressure of \(760\) mm of Hg is connected to an evacuated \(9\) liter vessel. The resultant pressure is
A vessel containing \(10\) liters of an ideal gas at a pressure of \(760\) mm of Hg is connected to an evacuated \(9\) liter vessel. The resultant pressure is
Show Hint
When gas expands into an evacuated vessel, total final volume is the sum of both vessel volumes.
Updated On: May 7, 2026
- \(400\) mm of Hg
- \(1440\) mm of Hg
- \(40\) mm of Hg
- \(760\) mm of Hg
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Concept:
When an ideal gas expands into an evacuated vessel at constant temperature, Boyle's law is applied: \[ P_1V_1=P_2V_2 \]
Step 1: Initial pressure of gas is: \[ P_1=760\text{ mm of Hg} \]
Step 2: Initial volume of gas is: \[ V_1=10\text{ L} \]
Step 3: The gas is connected to an evacuated vessel of volume \(9\) L. Therefore, final volume becomes: \[ V_2=10+9=19\text{ L} \]
Step 4: Apply Boyle's law: \[ P_1V_1=P_2V_2 \] \[ 760\times 10=P_2\times 19 \]
Step 5: Solve for \(P_2\): \[ P_2=\frac{7600}{19} \] \[ P_2=400\text{ mm of Hg} \] \[ \boxed{400\text{ mm of Hg}} \]
When an ideal gas expands into an evacuated vessel at constant temperature, Boyle's law is applied: \[ P_1V_1=P_2V_2 \]
Step 1: Initial pressure of gas is: \[ P_1=760\text{ mm of Hg} \]
Step 2: Initial volume of gas is: \[ V_1=10\text{ L} \]
Step 3: The gas is connected to an evacuated vessel of volume \(9\) L. Therefore, final volume becomes: \[ V_2=10+9=19\text{ L} \]
Step 4: Apply Boyle's law: \[ P_1V_1=P_2V_2 \] \[ 760\times 10=P_2\times 19 \]
Step 5: Solve for \(P_2\): \[ P_2=\frac{7600}{19} \] \[ P_2=400\text{ mm of Hg} \] \[ \boxed{400\text{ mm of Hg}} \]
Was this answer helpful?
0
0
Top AP ECET Agricultural Engg Physics Questions
- If $P = F \cdot v \sin \beta t$ where $F$ is force and $v$ is velocity then the dimensions of $P$ and $\beta$ are
- If velocity $V$, energy $E$ and time $T$ are chosen as fundamental quantities then dimensional representation of surface tension in this system will be
- If $|A+B| = |A-B|$ then the angle between the two vectors $A$ and $B$ is
- An aeroplane is moving in a circular path with a speed of 450 Kmph. What is the change in velocity in half revolution?
- The ratio between maximum and minimum values of two vectors $\vec{A}$ and $\vec{B}$ ($\vec{A}>\vec{B}$) is 1:4. Then the ratio between the magnitudes of two vectors is
View More Questions
Top AP ECET Agricultural Engg Thermodynamics Questions
- If the pressure of an ideal gas is doubled and its absolute temperature is halved; the volume will become:
- At constant temperature, the product PV is plotted against pressure P for an ideal gas. The graph obtained is:
- A bubble of an ideal gas rises from the bottom of a lake to the surface. At the bottom, the pressure is 3 Atm. and the temperature is 7 °C. At the surface, the pressure is 1 atm. and the temperature is 27 °C. If the initial volume of the bubble was $V_0$ what is its volume $V_f$ at the surface?
- The R.M.S. speed of oxygen molecules at 27 °C is $v$. At 927 °C the rms speed will be:
- In a photoelectric experiment, the stopping potential for incident light of wavelength 4000 Å is 2 V. If the wavelength is changed to 3000 Å, the new stopping potential will be approximately:
View More Questions
Top AP ECET Agricultural Engg Questions
- \[ \int_{-a}^{a}|x|\,dx= \]
- Rubber roll Sheller can shell up to percentage of paddy fed to it:
- The equipment used for separation of broken rice from head rice is:
- The efficiency of a cyclone separator increases by:
- Char-coal is made through process:
View More Questions