Determine the probabilities ofselecting at random (a) a man, and (b) a womanfrom a crowd containing 20 men and 33 women
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- Saponification is a process wherein soap is added to a certain type of oil to produce grease. One such grease is said to have 75.7 % by volume oil and 24.3% by volume soap, wherein the oil and soap have densities 760 kgm/m3 and 6,250 kgm/m3, respectively. This kind of grease is sold by packs shaped like a sphere with a diameter of 20 cm for convenience. Calculate: a) the mass of oil per pack (kgm), b) the mass of soap per pack (kgm), c) the weight of each pack (kgf), d) the specific weight of grease (N/m3), e) will the grease float if it is placed in water whose density is 1000 kgm/m3? Explain.Determine the maximum temperature required for the water of 1.7 liters to prepare Arabic coffee for a family using the following data. - Heat energy of 622 kJ is supplied to the water - Specific heat capacity of water is 4.19 kJ/kg K - Density of water as 999.4 kg/m3 - Room temperature is 23 C a) Mass of water (in kg) b) Maximum temperature requiredAccording to the U.S. Geological survey, the volume of water in oceans, seas, and bays is 1.41 ✕ 1018 m3. The average concentration of naturally occurring uranium in seawater is 3.15 ✕ 10−6 kg/m3. If 0.670% of naturally occurring uranium is the fissionable isotope U-235 and each fission reaction yields 200 MeV, estimate the amount of time the uranium in the seawater on the planet could meet the planet's energy needs at an average usage of 1.94 ✕ 1013 J/s.
- A metallic container of fixed volume of 2.5 × 10−3 m3 immersed in a large tank of temperature 27 °C contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.A food product containing 75% moisture content is being frozen. Estimate the specific heat of the product at -10 ° C when 85% of the water is frozen. The specific heat of the dry product is 2 kJ / (kg ° C). It is assumed that the specific heat of water at -10 ° C is the same as the specific heat of water at 0 ° C, and that the specific heat of ice follows the function Cp ice = 0.0062 T frozen + 2.0649. Cp frozen product = AnswerkJ / kg ° C.(a) A iron block with a mass of 6.9 kg initially slides over a rough horizontal surface with a speed of 9.0 m/s. Friction slows the block to rest. While slowing to rest, 85.0% of the kinetic energy of the block is absorbed by the block itself as internal energy. What is the temperature increase of the block? (Enter your answer in degrees Celsius.) ?°C (b) What happens to the remaining energy? It is absorbed by the horizontal surface on which the block slides. It vanishes from the universe. It becomes chemical energy. It is so minute that it doesn't factor into the equation.
- In a differential equation, the unknown variable is also known as ___________A food product containing 80% moisture content is being frozen. Estimate the specific heat of the product at -6 ° C when 80% of the water is frozen. The specific heat of the dry product is 2 kJ / (kg ° C). it is assumed that the specific heat of water at -10 ° C is the same as the specific heat of water at 0 ° C, and the specific heat of ice follows the function Cp ice = 0.0062 T frozen + 2.0649. Cp frozen products = Answer kJ / kg ° C.An object of mass m=2kg is part of a system and it is subject only to conservative forces and constrained to move along a horizontal line such that the potential energy of the system is given by the function U(x)=(−10)/(x2+1), where x is in meters and U is in joules. The graph of the function is shown in the image. (e) Another object is subject only to a different set of conservative forces and constrained to move along a horizontal line such that its potential energy is given by a different function U(x). Explain how the new function U(x) could be used to locate a point of stable equilibrium.
- An object of mass 2 kg is subjected to a varying force, and it moves along a straight line with time dependent acceleration. The acceleration of the object is given by à(t) = [(2t3 + +2)1 + (1.5t - 0.5)}] m/s, where t is time in seconds. Initially, the object is at rest (initial velocity = 0, t = 0). Determine the magnitude of the velocity of the object at t = 4 seconds.An electric heater producing 260 W of heat is used to warm up a room containing 7 m3 of air. If we assume the room is perfectly sealed and there is no heat loss through the room boundaries, such that all of the heater output goes into increasing the air temperature, how long will it take to heat up the air in the room from 5.0 °C to 24.1 °C? Give your answer to the nearest minute and assume that the specific volume (v = 0.85 m3/kg) and specific heat capacity at constant volume (cv = 1.005 kJ/(kg K)) remain constant throughout the heating process.An air cannon uses compressed air to propel a projectile from rest to a final velocity. Consider an air cannon that is to accelerate a 10-gram projectile to a speed of 300 m/s using compressed air, whose temperature cannot exceed 20°C. The volume of the storage tank is not to exceed 0.1 m3 . Select the storage volume size and maximum storage pressure that require the minimum amount of energy to fill the tank.