B Density is mass divided by volume As you heat something up the volume increases so the density decreases.
AP EAMCET-19.08.2021
Thermodynamics
148514
Two thermally insulated identical vessels $A$ and $B$ are connected through a stopcock. A contains a gas at STP and $B$ is completely evacuated. If the stopcock is suddenly opened then
1 Temperature is halved
2 Internal energy of the gas is halved
3 Internal energy of the gas and pressure are halved
4 Temperature and internal energy of the gas remain the same
5 Pressure and internal energy of the gas remain the same
Explanation:
D The expansion of the gas is not due to any external work done on the system and hence, the temperature and internal energy of the gas remain same. - There is no work done by or on the system, also there is no heat interaction, therefore internal energy of the system remains same internal energy, $\Delta \mathrm{U}=\mathrm{mc}_{\mathrm{v}} \Delta \mathrm{t}$ $\Delta \mathrm{W}=0 \quad \text { (Temperature is same) }$ - $\mathrm{A}$ and $\mathrm{B}$ are of equal capacity, so when the stopcock is suddenly opened the pressure in both cylinder decrease and volume of both cylinder increase.
B Density is mass divided by volume As you heat something up the volume increases so the density decreases.
AP EAMCET-19.08.2021
Thermodynamics
148514
Two thermally insulated identical vessels $A$ and $B$ are connected through a stopcock. A contains a gas at STP and $B$ is completely evacuated. If the stopcock is suddenly opened then
1 Temperature is halved
2 Internal energy of the gas is halved
3 Internal energy of the gas and pressure are halved
4 Temperature and internal energy of the gas remain the same
5 Pressure and internal energy of the gas remain the same
Explanation:
D The expansion of the gas is not due to any external work done on the system and hence, the temperature and internal energy of the gas remain same. - There is no work done by or on the system, also there is no heat interaction, therefore internal energy of the system remains same internal energy, $\Delta \mathrm{U}=\mathrm{mc}_{\mathrm{v}} \Delta \mathrm{t}$ $\Delta \mathrm{W}=0 \quad \text { (Temperature is same) }$ - $\mathrm{A}$ and $\mathrm{B}$ are of equal capacity, so when the stopcock is suddenly opened the pressure in both cylinder decrease and volume of both cylinder increase.
