Final answer:
The student's question pertains to the exit temperature of a turbine in a Brayton cycle gas-turbine power plant. To solve for the turbine exit temperature, isentropic relations and the specific heat of air would be required, which are not provided in the question. Hence, a proper solution cannot be given without additional information.
Step-by-step explanation:
The question concerns determining the temperature at the exit of a turbine in a gas-turbine power plant operating on a simple ideal Brayton cycle. The power plant operates with air entering the compressor at 300 K and 1 bar, and exiting the turbine at an unknown temperature with given values of 1000 K and 20 bar entering the turbine. To solve for the temperature at the turbine exit, we would use the relationship derived from the conservation of energy for an adiabatic process, applying the ideal gas assumption and constant specific heats.
However, the provided information is not directly related to the Brayton cycle. It talks about the maximum theoretical efficiency for a heat engine operating between two temperatures, which can be calculated using Carnot's theorem, given as Effc = 1 - (Tc/Th), where Tc and Th are the absolute temperatures of the cold and hot reservoirs, respectively. We are not provided with the specifics of the cycle efficiencies or the isentropic relations necessary to solve the question directly. We would also need to know the specific heat at constant pressure for air, and potentially use the isentropic relations which relate temperatures and pressures at different points in the cycle.
For a proper answer, additional information and context would be necessary.
The acceleration of a particle moving along a straight line is given by a = √ s m/s², where s is the displacement in meters. To determine the velocity when s = 16 m, we can integrate the acceleration with respect to s, since a = dv/dt and dv = a ds for constant acceleration. Considering the initial conditions of s = 0 and v = 0 when t = 0, the integrated velocity function would give us the velocity at s = 16 m. To find the time it takes to reach s = 16 m, we can further integrate the velocity function with respect to time or solve the kinematic equations with the given initial conditions and acceleration function.