Two vessels A and B are connected via a stopc | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The process described is the free expansion of a gas into a vacuum.In free expansion,the external pressure $P_{	ext{ext}} = 0$.Since work done $w

Vedclass · Accepted Answer

The pressure in vessel $B$ before opening the stopcock is zero.

Vedclass · Answer

(D) The process described is the free expansion of a gas into a vacuum.In free expansion,the external pressure $P_{	ext{ext}} = 0$.Since work done $w = -P_{	ext{ext}} \Delta V$,it follows that $w = 0$.Because the system is in thermal equilibrium and the temperature remains constant,the internal energy change $\Delta U = 0$.According to the first law of thermodynamics,$\Delta U = q + w$,which implies $q = 0$.Therefore,the statement that the pressure in vessel $B$ before opening the stopcock is zero is the correct condition for free expansion.

Similar Questions

$A$ system is provided with $50 \ J$ of heat and the work done on the system is $10 \ J$. What is the change in internal energy of the system in joules?

$A$ gas is allowed to expand in a well-insulated container against a constant external pressure of $2.5 \ atm$ from an initial volume of $2.50 \ L$ to a final volume of $4.50 \ L$. The change in internal energy $\Delta U$ of the gas in joules will be .............. $J$.

What is the change in internal energy when a system releases $8 \ kJ$ of heat and performs $660 \ J$ of work on the surroundings (in $J$)?

Which of the following statements is true regarding the universe according to the laws of thermodynamics?

What is the final temperature of $0.10 \ mol$ monoatomic ideal gas that performs $75 \ cal$ of work adiabatically if the initial temperature is $227 \ ^\circ C$? (Use $R = 2 \ cal \cdot K^{-1} \cdot mol^{-1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module