Question

It enters a water vapor turbine with a temperature of 800 degrees Celsius and a pressure of 20 megapascals at a speed of 40 meters per second. Calculate. Write the hypotheses in full.

a) The kinetic energy of the water vapor

b) The pressure exerted by the water vapor

c) The speed of the turbine

d) The temperature change during the process

Answer 1

To answer the question, we need to use equations relating to kinetic energy, pressure, speed, and temperature change.

Step-by-step explanation:

a) To calculate the kinetic energy of a substance, you can use the formula KE = 0.5 * m * v^2, where m is the mass and v is the velocity. However, in this case, we are given the temperature and pressure of the water vapor, so we need to use other equations to find the kinetic energy.

b) The pressure exerted by the water vapor can be calculated using the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature. We can rearrange this equation to solve for pressure.

c) The speed of the turbine can be determined using the formula v = (2 * KE / m)^0.5, where v is the speed, KE is the kinetic energy, and m is the mass.

d) The temperature change during the process can be found by comparing the initial and final temperatures of the water vapor.