On a $TP$ diagram, two moles of ideal gas perform process $AB$ and $CD$. If the work done by the gas in the process $AB$ is two times the work done in the process $CD$ then what is the value of $T_1/T_2$?
Diffcult
Download our app for free and get started
Let slope of line $A C$ is $m_{1} \&$ that of line $D B$ is $m_{2}$
then,
$K T_{1}=\frac{m_{2}}{m_{1}} \quad(k$ is constant part)
$2 K T_{2}=\frac{m_{2}}{m_{1}}$
$K T_{1}=2 K T_{2}$
$\Rightarrow \frac{T_{1}}{T_{2}}=2$
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
- 1$PV$ curve for the process whose $VT$ curve isView Solution
- 2An ideal gas undergoes the process $1 \rightarrow 2$ as shown in the figure, the heat supplied and work done in the process is $\Delta \,\,Q$ and $\Delta \,\,W$ respectively. The ratio $\Delta \,\,Q :$ $\Delta \,\,W$ isView Solution
- 3One mole of an ideal gas with $\gamma = 1.4$, is adiabatically compressed so that its temperature rises from $27°C$ to $35°C$. The change in the internal energy of the gas is ....... $J$ $(R = 8.3\,J/mol.K)$View Solution
- 4A thermodynamic system is taken through the cycle $PQRSP$ process. The net work done by the system is ....... $J$View Solution
- 5$540$ calories of heat converts $1$ cubic centimeter of water at $100\,^oC$ into $1671$ cubic centimeter of steam at $100\,^oC$ at a pressure of one atmosphere. Then the work done against the atmospheric pressure is nearly .......... $cal$View Solution
- 6When $1\, gm$ of water at ${0^o}C$ and $1 \times {10^5}\;N/{m^2}$ pressure is converted into ice of volume $1.091\;c{m^2}$, the external work done will beView Solution
- 7A diatomic gas $(\gamma=1.4)$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. The heat given to the gas in the process is:View Solution
- 8An ideal gas is taken from state $1$ to state $2$ through optional path $A, B, C \& D$ as shown in $P-V$ diagram. Let $Q, W$ and $U$ represent the heat supplied, work done $\&$ internal energy of the gas respectively. ThenView Solution
- 9Suppose that two heat engines are connected in series, such that the heat released by the first engine is used as the heat absorbed by the second engine, as shown in figure. The efficiencies of the engines are $\epsilon_1$ and $\epsilon_2$, respectively. The net efficiency of the combination is given by :View Solution
- 10In an Isobaric process, the work done by a di$-$atomic gas is $10\, J ,$ the heat given to the gas will be (in $J$)View Solution