A certain mass of gas at $273 K$ is expanded to $81$ times its volume under adiabatic condition. If $\gamma = 1.25$ for the gas, then its final temperature is ..... $^oC$
A$-235$
B$-182$
C$-91$
D$0$
Medium
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B$-182$
b (b) For adiabatic process $T{V^{\gamma - 1}}$= constant
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Figure below shows two paths that may be taken by a gas to go from a state $A$ to a state $C.$ In process $AB,$ $400 \,J$ of heat is added to the system and in process $BC,$ $100\, J$ of heat is added to the system. The heat absorbed by the system in the process $AC$ will be ...... $J$
An ideal gas with constant heat capacity $C_V=\frac{3}{2} n R$ is made to carry out a cycle that is depicted by a triangle in the figure given below. The following statement is true about the cycle.
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A thermodynamic process is the pressure and volumes corresponding to some points in the figure are, $P_A = 3 \times 10^4 Pa$, $V_A = 2 \times 10^{-3}\, m^3$, $P_B = 8 \times 10^4 Pa$, $V_D = 5 \times 10^{-3}\,m^3$. In process $AB, 600\, J$ of heat and in process $BC, 200\, J$ of heat is added to the system. The change in the internal energy in process $AC$ would be .... $J$
A sample of an ideal gas is taken through a cycle a shown in figure. It absorbs $50J$ of energy during the process $AB$, no heat during $BC$, rejects $70J$ during $CA.$ $40J$ of work is done on the gas during $BC$. Internal energy of gas at $A$ is $1500J$, the internal energy at $C$ would be ........ $J$
When a system is taken from a state $i$ to $f$ along the path $iaf$ (as shown in the figure). $Q = 50\, cal$ and $W = 20\, cal$ ; along path $ibf,$ $Q = 36\, cal.$
$(i)$ What is $W$ along path $ibf$ ?
$(ii)$ If $W = 13$ cal for path $fi$, what is $Q$ for the path $fi$ ?
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