When an ideal gas $(\gamma = 5/3$) is heated under constant pressure, then what percentage of given heat energy will be utilised in doing external work
Medium
Download our app for free and get started
(a)$\Delta Q = \Delta U + \Delta W \Rightarrow \frac{{\Delta W}}{{\Delta Q}} = 1 - \frac{{\Delta U}}{{\Delta Q}} = 1 - \frac{{n{C_V}dT}}{{n{C_P}dT}}$
$ \Rightarrow \frac{{\Delta W}}{{\Delta Q}} = 1 - \frac{{{C_V}}}{{{C_P}}} = 1 - \frac{3}{5} = \frac{2}{5} = 0.4$
$ \Rightarrow \frac{{\Delta W}}{{\Delta Q}} = 1 - \frac{{{C_V}}}{{{C_P}}} = 1 - \frac{3}{5} = \frac{2}{5} = 0.4$
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
- 1Two 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 .........View Solution
- 2$n$ mole a perfect gas undergoes a cyclic process $ABCA$ (see figure) consisting of the following processes.View Solution
$A \rightarrow B :$ Isothermal expansion at temperature $T$ so that the volume is doubled from $V _{1}$ to $V _{2}=2 V _{1}$ and pressure changes from $P _{1}$ to $P _{2}$
$B \rightarrow C :$ Isobaric compression at pressure $P _{2}$ to initial volume $V _{1}$
$C \rightarrow A$ : Isochoric change leading to change of pressure from $P _{2}$ to $P _{1}$
Total workdone in the complete cycle $ABCA$ is
- 3This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements.View Solution
Statement $1:$ In an adiabatic process, change in internal energy of a gas is equal to work done on/by the gas in the process.Statement $2 :$ The temperature of a gas remains constant in an adiabatic process.
- 4Two samples $A$ and $B$ of a gas initially at the same pressure and temperature are compressed from volume $ V$ to $ V/2$ ($A$ isothermally and adiabatically). The final pressure of $ A$ isView Solution
- 5An ideal Carnot heat engine with an efficiency of $30\%$.It absorbs heat from a hot reservoir at $727^o C$. The temperature of the cold reservoir is .... $^oC$View Solution
- 6In following figures $(a)$ to $(d)$, variation of volume by change of pressure is shown in figure. The gas is taken along the path $A B C D A$. Change in internal energy of the gas will be .......View Solution
- 7View SolutionFor adiabatic process, wrong statement is
- 8In thermodynamic process, $200$ Joules of heat is given to a gas and $100$ Joules of work is also done on it. The change in internal energy of the gas is ........ $J$View Solution
- 9A Carnot’s engine is made to work between $200°C$ and $0°C$ first and then between $0°C$ and $-200°C.$ The ratio of efficiencies of the engine in the two cases isView Solution
- 10View SolutionA reversible engine and an irreversible engine are working between the same temperatures. The efficiency of the ...........