The ratio of the molar specific heats, \(\gamma\), for an ideal gas is defined as the ratio of the heat capacity at constant pressure \(C_p\) to the heat capacity at constant volume \(C_v\):\(( \gamma = \frac{C_p}{C_v} )\)
For diatomic gases like oxygen, the value of \(\gamma\) is typically around 1.4, due to the way the molecules move and store energy in the form of translational, rotational, and vibrational motion. The value reflects the fact that the degrees of freedom for a diatomic molecule lead to an increased specific heat compared to monatomic gases, which only have translational motion.
A stream of superheated steam (2 MPa, 300°C) mixes with another stream of superheated steam (2 MPa, 400°C) through a steady-state adiabatic process. The flow rates of the streams are 3 kg/min and 2 kg/min, respectively. This mixture then expands in an adiabatic nozzle to a saturated mixture with quality of 0.77 and 1 kPa. Neglect the velocity at the nozzle entrance and the change in potential energies. The velocity at the nozzle exit (in m/s) is ......... (rounded off to two decimal places).
Use the following data:
At 2 MPa, 300 °C: Specific enthalpy of superheated steam = 3024.2 kJ/kg
At 2 MPa, 400 °C: Specific enthalpy of superheated steam = 3248.4 kJ/kg
At 1 kPa: Specific enthalpy of saturated water = 29.3 kJ/kg
At 1 kPa: Specific enthalpy of saturated vapour = 2513.7 kJ/kg
A wooden block of mass M lies on a rough floor. Another wooden block of the same mass is hanging from the point O through strings as shown in the figure. To achieve equilibrium, the coefficient of static friction between the block on the floor and the floor itself is
The circuit shown in the figure contains two ideal diodes \( D_1 \) and \( D_2 \). If a cell of emf 3V and negligible internal resistance is connected as shown, then the current through \( 70 \, \Omega \) resistance (in amperes) is:
Among the following, identify the compound that is not an isomer of hexane: