An apartment has a living room whose dimensions are 2.9 m x 5.5 m x 5.1 m. Assume that the air in the room is composed of 79% nitrogen (N2) and 21% oxygen (O2). At a temperature of 25 °C and a pressure of 1.01 x 105 Pa, what is the mass (in grams) of the air? Number Units
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![An apartment has a living room whose dimensions are 2.9 m x 5.5 m x 5.1 m. Assume that the air in the room is composed of 79%
nitrogen (N2) and 21% oxygen (O2). At a temperature of 25 °C and a pressure of 1.01 x 105 Pa, what is the mass (in grams) of the air?
Number
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- How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.The volume of an automobile tire is 2.5x10^-2m3. The pressure of the air in the tire is 3.3 atm and the temperature is 20°C. What is the mass of air in grams? The mean molecular mass of air is 29g. 1atm=1.01x10^5PaA gas is heated to 75 °C and a pressure of 200 kPa. If the container is compressed to hold a volume of 700 mL, what was the volume of the gas, (in litres), at a temperature of 40 °C and 100 kPa pressure? B. A vessel of volume 5x10-5 m3 contains hydrogen at a pressure of 1.5 Pa at a temperature of 37 °C. Estimate: i. The number of molecules of hydrogen gas in the vessel. (4 marks) ii. The number of moles of hydrogen. iii. Mass of hydrogen iv. The kinetic energy of hydrogen. v. The root mean square speed. Given: M = 1.008 g/mol; R = 8.31 J/mol-K; NA = 6.02 x 1023 mol-1; k = 1.38 x 10-23 J/K
- The volume of an automobile tire is 2.5x10^-2m^3. The pressure of the air in the tire is 3.3 atm and the temperature is 25C°. What is the mass of air in grams? The mean molecular mass of air is 29g. Calculate to 2 decimals.An apartment has a living room whose dimensions are 2.9 m x 4.5 m x 5.7 m. Assume that the air in the room is composed of 79% nitrogen (N₂) and 21% oxygen (O₂). At a temperature of 24 °C and a pressure of 1.01 x 105 Pa, what is the mass (in grams) of the air? Number i UnitsA closed 1 L water bottle contains air at standard temperature and pressure. The bottle is left in a room for a few hours, and the sun heats up the bottle to 30oC. What is the new pressure inside the bottle? Give an answer in atm with 3 digits of precision behind the decimal.
- A sample of ideal gas is in a sealed container. The pressure of the gas is 325 torr , and the temperature is 14 °C. If the temperature changes to 81 °C with no change in volume or amount of gas, what is the new pressure, P, of the gas inside the container?A room has dimensions of 7.2 m by 5.9 m by 3.2 m. The pressure inside the room is 90,000 Pa and the temperature is 37 degrees C. Another room with the same dimensions and pressure has a temperature of -7 degrees C. If air has a molar mass of 29 g/mol, calculate the mass of air in each room in kg. Which room has the larger mass of air? Answer in kg rounded to the nearest tenths place.Q1. a) Choose which quantity/unit is fundamental, or derived quantity/unit by ticking (√ ). Sl No Quantity Fundamental Quantity Derived Quantity Fundamental Unit Derived Unit Example m/s √ 1 volume 2 J/kg 3 viscosity 4 N/m 5 Surface tension 6 Angular velocity 7 s-2 8 Heat flux density 9 V/m 10 Thermal conductivity
- You are using a 680 W microwave to heat 700 mL of olive oil. If the initial temperature of the oil is 18 C, what is the temperature after 2 minutes in the microwave? Assume the microwave is 88% efficient. Express this temperature in Celsius. Use 1.97 J/gK for the specific heat of olive oil. The specific gravity is 0.915.A copper flask is filled to the brim with mercury. The flask and the mercury have an initial temperature of 15.7◦C. Both the flask and mercury were heated to 80.5◦C where 14.6 cm3 of mercury spills out. What was the initial volume of the flask? Give your answer in cm3 and m3 .A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.
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