A cylinder fitted with a piston contains $0.2 \,moles$ of air at temperature $27°C.$ The piston is pushed so slowly that the air within the cylinder remains in thermal equilibrium with the surroundings. Find the approximate work done by the system if the final volume is twice the initial volume ...... $J$
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The $P-V$ diagram of $2$ gm of helium gas for a certain process $A \to B$ is shown in the figure. what is the heat given to the gas during the process $A \to B$
Six moles of an ideal gas perfomrs a cycle shown in figure. If the temperature are $T_A = 600 K, T_B = 800 K, T_C = 2200 K \,and\, T_D = 1200 K$, the work done per cycle is ..... $kJ$
The amount of heat needed to raise the temperature of $4\, moles$ of a rigid diatomic gas from $0^{\circ} {C}$ to $50^{\circ} {C}$ when no work is done is ......${R}$ ($R$ is the universal gas constant)
Agas expands such that its initial and final temperature are equal. Also, the process followed by the gas traces a straight line on the $P-V$ diagram :
The specific heat of hydrogen gas at constant pressure is ${C_P} = 3.4 \times {10^3}cal/kg{\,^o}C$ and at constant volume is ${C_V} = 2.4 \times {10^3}cal/kg{\,^o}C.$If one kilogram hydrogen gas is heated from ${10^o}C$ to ${20^o}C$ at constant pressure, the external work done on the gas to maintain it at constant pressure is
The efficiency of carnot engine is $50\%$ and temperature of sink is $500\;K$. If temperature of source is kept constant and its efficiency raised to $60\%$, then the required temperature of the sink will be
An ideal gas goes through a reversible cycle $a\to b\to c\to d$ has the $V - T$ diagram shown below. Process $d\to a$ and $b\to c$ are adiabatic.... The corresponding $P - V$ diagram for the process is (all figures are schematic and not drawn to scale)
One mole of a monoatomic ideal gas $\left(c_{ V }=\frac{3}{2} R \right)$ undergoes a cycle where it first goes isochorically from the state $\left(\frac{3}{2} P _0, V _0\right)$ to $\left( P _0, V _0\right)$, and then is isobarically contracted to the volume $\frac{1}{2} V _0$. It is then taken back to the initial state by a path which is a quarter ellipse on the $P - V$ diagram. The efficiency of this cycle is
A Car not engine whose low temperate reservoir is at $7\,^oC$ has an efficiency of $50\%$ . It is desired to increase the efficiency to $70\%$ . By how many degrees should the temperature of the high temperature reservoir be increased .... $K$