Physics Homework Solutions

Vapour Pressure and mass of water vapor

A room is filled with saturated moist air at 30oC and a total pressure of 100 kPa. If the mass of dry air in the room is 100 kg, the mass of water vapor is:

Thermodynamics

Steam expands in an adiabatic turbine from 10 MPa and 500°C to 0.1 MPa at a rate of 8 kg/s. If steam leaves the turbine as saturated vapor, the power output of the turbine is:

Thermodynamics

An air-conditioning system operating on the reversed Carnot cycle is required to remove heat from the house at a rate of 25 kJ/s to maintain its temperature constant at 20°C. If the temperatures of the outdoors is 35°C, the power required to operate this air-conditioning system is:

Thermodynamics: Isochoric Change

A well-sealed room contains 80 kg of air at 200 k Pa and 25°C. Now solar energy enters the room at an average rate of 1 kJ/s while a 100-W fan is turned on to circulate the air in the room. If heat transfer through the walls is negligible, the air temperature in the room in 30 min will be:

Thermodynamics: Isochoric Process

A 2-kW baseboard electric resistance heater in a vacant room is turned on and kept on for 15 min. The mass of the air in the room is 75 kg, and the room is tightly sealed so that no air can leak in or out. The temperature rise of air at the end of 15 min is:

Thermodynamics

Refrigerant-134a expands in an adiabatic turbine from 1.2 MPa and 100°C to 0.18 MPa and 50°C at a rate of 1.25 kg/s. The power output of the turbine is:

Thermodynamics: pressure and temperature relationships of a gas

The pressure of an automobile tire is measured to be 200 kPa (gage) before a trip and 220 kPa (gage) after the trip at a location where the atmospheric pressure is 90 kPa. If the temperature of air in the tire before the trip is 25 °C, the air temperature after the trip is?

Free Body Diagrams

Problem: 3 boxes side by side on a table. (regular size box, larger box, regular size box). The boxes are given a small steady push. Please draw a free body diagram for each box. I am confused as to the paralell friction. Also, why would the boxes not move at all if the push was too small?

Determining kinetic friction

A 3.99 kg block is pushed along the ceiling with a constant applied force of F=83.4 N which acts at an angle of 57.2 deg with the horizontal. The block accelerates to the right at 5.48 m/s^2. Determine the coefficient of kinetic friction between block and ceiling.

Acceleration

A 14 kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 27 kg package on the ground. What is the magnitude of the last acceleration the monekey must have if it is to lift the package off the the ground?

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