A polyatomic gas with six degrees of freedom does $25\,\,J$ of work when it is expanded at constant pressure. The heat given to the gas is ..... $J$
Diffcult
Download our app for free and get started
freedom $(f)=6^{0}$
$r=1+\frac{2}{6}=\frac{4}{3}$
$\frac{\Delta w}{\Delta Q}=\frac{\Delta Q-\Delta u}{\Delta Q}=1-\frac{\Delta u}{\Delta Q}=1-\frac{n c u \Delta T}{n c p \Delta T}$
$\Rightarrow 1-\frac{1}{r}=1-\frac{1}{\frac{4}{3}}=\frac{4-3}{4}=\frac{1}{4}$
$\Rightarrow \frac{\Delta w}{\Delta Q}=\frac{1}{4}$
$\therefore \quad \Delta Q=4 \times \Delta w=4 \times 25 j=100 j$
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
- 1The $P-V$ diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process $CD$ is (use $\gamma=1.4$) (in $J$)View Solution
- 2A piece of hot copper at $100^{\circ} C$ is plunged into a pond at $30^{\circ} C$. The copper cools down to $30^{\circ} C$, while the pond being huge stays at its initial temperature. Then,View Solution
- 3$Assertion :$ When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.View Solution
$Reason :$ Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours. - 4An 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
- 5Let $\eta_{1}$ is the efficiency of an engine at $T _{1}=447^{\circ}\,C$ and $T _{2}=147^{\circ}\,C$ while $\eta_{2}$ is the efficiency at $T _{1}=947^{\circ}\,C$ and $T _{2}=47^{\circ}\,C$. The ratio $\frac{\eta_{1}}{\eta_{2}}$ will be.View Solution
- 6The $PV$ diagram shows four different possible reversible processes performed on a monatomic ideal gas. Process $A$ is isobaric (constant pressure). Process $B$ is isothermal (constant temperature). Process $C$ is adiabatic. Process $D$ is isochoric (constant volume). For which process$(es)$ does the temperature of the gas decrease?View Solution
- 7An ideal gas undergoes a four step cycle as shown in the $P-V$ diagram below. During this cycle, in which step heat is absorbed by the gasView Solution
- 8View SolutionAn adiabatic process occurs at constant
- 9An ideal gas at a pressures of $1$ atmosphere and temperature of ${27^o}C$ is compressed adiabatically until its pressure becomes $8$ times the initial pressure, then the final temperature is ..... $^oC$ ($\gamma = 3/2$)View Solution
- 10Consider one mole of helium gas enclosed in a container at initial pressure $P_1$ and volume $V_1$. It expands isothermally to volume $4 V_1$. After this, the gas expands adiabatically and its volume becomes $32 V_1$. The work done by the gas during isothermal and adiabatic expansion processes are $W_{\text {iso }}$ and $W_{\text {adia, }}$ respectively. If the ratio $\frac{W_{\text {iso }}}{W_{\text {adia }}}=f \ln 2$, then $f$ is. . . . . . . .View Solution