A diatomic gas, having $C_{p}=\frac{7}{2} R$ and $C _{ v }=\frac{5}{2} R ,$ is heated at constant pressure. The ratio $dU : dQ : dW :$
JEE MAIN 2021, Diffcult
Download our app for free and get started
$d U = n C _{ v } dT$
$dQ = nC _{ p } dT$
$dW = PdV = nRdT$ (isobaric process)
$d U : dQ : dW : C _{ v }: C _{ p }: R$
$=\frac{5 R }{2}: \frac{7 R }{2} \cdot R =5: 7: 2$
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
- 1Figure 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 ...... $J$View Solution
- 2Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure? where, $1 \rightarrow 2$ is adiabatic.View Solution
(Graphs are schematic and are not to scale)
- 3A litre of dry air at $STP$ expands adiabatically to a volume of $3$ litres. If $\gamma=1.40,$ the work done by air is$(3^{1.4}=4.6555)$ [Take air to be an ideal gas $]$View Solution
- 4View SolutionA measure of the degree of disorder of a system is known as
- 5View SolutionWork done in the cyclic process shown in figure is ...........
- 6View SolutionIn the adiabatic compression, the decrease in volume is associated with
- 7The volume of air increases by $5\%$ in its adiabatic expansion. The percentage decrease in its pressure will be ...... $\%$View Solution
- 8One mole of an ideal gas having initial volume $V$, pressure $2P$ and temperature $T$ undergoes a cyclic process $ABCDA$ as shown below : The net work done in the complete cycle isView Solution
- 9A sample of an ideal gas is taken through the cyclic process $ABCA$ as shown in figure. It absorbs, $40\,J$ of heat during the part $A B$, no heat during $BC$ and rejects $60\,J$ of heat during $CA$. $A$ work $50\,J$ is done on the gas during the part $BC$. The internal energy of the gas at $A$ is $1560\,J$. The work done by the gas during the part $CA$ is.............$J$View Solution
- 10Two Carnot engines $A$ and $B$ are operated in series. The first one, $A,$ receives heat at $T_1(= 600\,K)$ and rejects to a reservoir at temperature $T_2.$ The second engine $B$ receives heat rejected by the first engine and, in turns, rejects to a heat reservoir at $T_3 (=400\,K).$ Calculate the temperature $T_2$ if the work outputs of the two engines are equal ..... $K$View Solution