$200\,g$ water is heated from $40\,^oC$ to $60\,^oC.$ Ignoring the slight expansion of water, the change in its internal energy is close to ...... $kJ$ (Given specific heat of water $=4184\,J/kgK$ )
JEE MAIN 2016, Medium
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Volume of water does not change, no work is done on or by the system $(W=0)$
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A student records $\Delta Q, \Delta U \& \Delta W$ for a thermodynamic cycle $A$ $\rightarrow$ $B \rightarrow C \rightarrow A$. Certain entries are missing. Find correct entry in following options.
Two cylinders contain same amount of ideal monatomic gas. Same amount of heat is given to two cylinders. If temperature rise in cylinder $A$ is $T_0$ then temperature rise in cylinder $B$ will be .........
Suppose ideal gas equation follows $V{P^3}$= constant. Initial temperature and volume of the gas are $T$ and $V$ respectively. If gas expand to $27V$ then its temperature will be come
A sample of an ideal gas is taken through the cyclic process $abca$ as shown in the figure. The change in the internal energy of the gas along the path $ca$ is $-180\, J$. The gas absorbs $250\, J$ of heat along the path $ab$ and $60\, J$ along the path $bc$. The work done by the gas along the path $abc$ is ..... $J$
A thermally isolated cylindrical closed vessel of height $8 m$ is kept vertically. It is divided into two equal parts by a diathermic (perfect thermal conductor) frictionless partition of mass $8.3 kg$. Thus the partition is held initially at a distance of $4 m$ from the top, as shown in the schematic figure below. Each of the two parts of the vessel contains $0.1$ mole of an ideal gas at temperature $300 K$. The partition is now released and moves without any gas leaking from one part of the vessel to the other. When equilibrium is reached, the distance of the partition from the top (in $m$ ) will be. . . . . . (take the acceleration due to gravity $=10 ms ^{-2}$ and the universal gas constant $=8.3 J mol ^{-1} K ^{-1}$ ).
A sample of an ideal gas undergoes an isothermal expansion. If $d Q, d U$ and $d W$ represent the amount of heat supplied, the change in internal energy and the work done respectively, then
An engineer claims to have made an engine delivering $10 kW$ power with fuel consumption of $1 g/sec$. The calorific value of the fuel is $2 kcal/g$. Is the claim of the engineer
A real gas within a closed chamber at $27^{\circ} \mathrm{C}$ undergoes the cyclic process as shown in figure. The gas obeys $P V^3=\mathrm{RT}$ equation for the path $A$ to $B$. The net work done in the complete cycle is (assuming $R=8 \mathrm{~J} / \mathrm{molK}$ ):