Mesh analysis is generally used to determine_________

Options

A. Voltage
B. Current
C. Resistance
D. Resistance

Explanation

As the separator is conducting, the tenperature is T when the separator is in the middle. Let n_(1) and n_(2) be the number of moles of the gas in the left part and the right part respectively. Using ideal gas equation,
p_(1)(v_(0))/(2)=n_(1)RT
and p_(2)(v_(0)=n_(2)RT.
Thus, (n_(1))/(n_(2))=p_(1)/p_(2) ...(i)
The separator will stay in equilibrium at a position wher the pressures on the two sides are equal. Suppose the volume of the left part is V_(1) and of the right part is V_(2) in this situation. Let the common pressure be p'. Also, let the common temperature in this situation be T'. Using ideal gas equation,
`p'V_(1)=n_(1)RT'`
and `p'V_(2)=n_(2)RT'`
or, `(V_(1))/(V_(2))=(n_(1))/(n_(2))=(p_(1))/(p_(2))` [using(i)]
Also, `V_(1)+V_(2)=V_(0)`
Thus, `V_(1)=(p_(1)V_(0))/(p_(1)+p_(2))` and `V_(2)=(p_(2)V_(0))/(p_(1)+p_(2))`.