A gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \,V$. Then,
KVPY 2016, Medium
Download our app for free and get started
$(a)$ In sudden expansion, time duration is small. Thus, heat does not leave or enter the gas mass.
Process of sudden expansion is adiabatic process, $\Delta Q=0$
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
- 1A container of volume $1{m^3}$is divided into two equal compartments by a partition. One of these compartments contains an ideal gas at $300 K$. The other compartment is vacuum. The whole system is thermally isolated from its surroundings. The partition is removed and the gas expands to occupy the whole volume of the container. Its temperature now would be ..... $K$View Solution
- 2When heat energy of $1500\; Joules$, is supplied to a gas at constant pressure $2.1 \times {10^5}\;N/{m^2}$, there was an increase in its volume equal to $2.5 \times {10^{ - 3}}\;{m^3}$. The increase in internal energy of the gas in Joules is ...... $J$View Solution
- 3If during an adiabatic process the pressure of mixture of gases is found to be proportional to square of its absolute temperature. The ratio of $C_p / C_v$ for mixture of gases is .........View Solution
- 4For an ideal gas, the internal energy is given by $U=5 p V / 2+C$, where $C$ is a constant. The equation of the adiabats in the $p V$-plane will beView Solution
- 5Consider 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
- 6An ideal gas is made to undergo a cycle depicted by the $p-V$ diagram given below. The curved line from $A$ to $B$ is an adiabat.Then,View Solution
- 7$\Delta U + \Delta W = 0$ is valid forView Solution
- 8A gas is compressed at a constant pressure of $50N/{m^2}$ from a volume of $10{m^3}$ to a volume of $4{m^3}$. Energy of $100 J$ then added to the gas by heating. Its internal energy isView Solution
- 9A Carnot engine with efficiency $50\,\%$ takes heat from a source at $600\,K$. In order to increase the efficiency to $70\,\%$, keeping the temperature of sink same, the new temperature of the source will be $.........\,K$View Solution
- 10The $P-V$ diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from $A \to B \to C$ is $30J$ and $40J$ heat is given to the system. The change in internal energy between $A$ and $C$ is ....... $J$View Solution
