A cylinder of mass $1\,kg$ is given heat of $20000\, J$ at atmospheric pressure. If initially temperature of cylinder is $20\,^oC$, then work done by the cylinder will be .......$J$ (Given that Specific heat of cylinder $= 400 \,J\, kg^{-1}$, Coefficient of volume expansion $= 9 \times {10^{-5}}\,^o C^{-1}$, Atmospheric pressure $= 10^5 \,N/m^2$ and density of cylinder $9000\,kg/m^3$)
A$0.02 $
B$0.05 $
C$0.08 $
D$0.1 $
Diffcult
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B$0.05 $
b (b) $\Delta Q = mc\Delta T$ $⇒$ $\Delta T = \frac{{20000J}}{{1kg \times (400J/kg^\circ C)}} = 50^\circ C$
$⇒$ $T$ Final $= 70°C$
Hence $W = {P_{atm}}\Delta V = {P_{atm}}{V_0}\gamma \,\Delta T$
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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.
A heat engine operates with the cold reservoir at temperature $324 K$. The minimum temperature of the hot reservoir, if the heat engine takes $300 \; J$ heat from the hot reservoir and delivers $180 \; J$ heat to the cold reservoir per cycle, is $\dots \; K .$