A cylindrical tube of uniform cross-sectional area $A$ is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is $P_0$ and temperature is $T_0$, atmospheric pressure is also $P_0$. Now the temperature of the gas is increased to $2T_0$, the tension in the wire will be
Medium
Download our app for free and get started
(b)Volume of the gas is constant $V = $ constant
$P \propto T$
i.e., pressure will be doubled if temperature is doubled
$P = 2{P_0}$
Now let F be the tension in the wire. Then equilibrium of any one piston gives
$F = (P - {P_0})A = (2{P_0} - {P_0})A = {P_0}A$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The internal energy change in a system that has absorbed $2 \;k cal$ of heat and done $500 \;J $ of work is ...... $J$View Solution
- 2An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among $1,2,3$ and $4$ isView Solution
- 3In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; $T _3 > T _2 > T _1$ as :View Solution
- 4View SolutionWhich of the following processes is reversible
- 5At ${27^o}C$ a gas is suddenly compressed such that its pressure becomes $\frac{1}{8}th$ of original pressure. Temperature of the gas will be $(\gamma = 5/3)$View Solution
- 6$P-V$ plots for two gases during adiabatic process are shown in the figure. Plots $1$ and $2$ should correspond respectively toView Solution
- 7The adiabatic elasticity of a diatomic gas at $NTP$ is ........ $N / m ^2$View Solution
- 8A cyclic process $ABCA$ is shown in the $V-T$ diagram. Process on the $P-V$ diagram isView Solution
- 9Consider the following volume-temperature $( V - T )$ diagram for the expansion of $5$ moles of an ideal monoatomic gas.View Solution
Considering only $P-V$ work is involved, the total change in enthalpy (in Joule) for the transformation of state in the sequence $X \rightarrow Y \rightarrow Z$ is $\qquad$
[Use the given data: Molar heat capacity of the gas for the given temperature range, $C _{ v , m }=12 J K ^{-1} mol ^{-1}$ and gas constant, $R =8.3 J K ^{-1} mol ^{-1}$ ]
- 10One mole of a perfect gas in a cylinder fitted with a piston has a pressure $P,$ volume $V$ and temperature $T.$ If the temperature is increased by $1 \,K$ keeping pressure constant, the increase in volume isView Solution