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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- 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
- A hollow spherical container has an outer diameter of 10.50 cm. The thickness of the walls is 0.50 cm. The container is filled with water. Water molecules are approximated to be spheres with a diameter of 275 pm. How many water molecules are present inside of the container? Your answer needs to have the correct number of significant figures.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.A gas is held in a container with volume 516 cm3. If the pressure of the gas inside the container is 100 kPa, what is the pressure of the gas, in the unit of kPa, when it is expanded to 733 cm3? Assume that the temperature of the gas does not change.
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- The ideal gas law describes the state of a hypothetical ideal gas, i.e., PV = nRT where P is the pressure in Pascal, V is the volume in liters L, R is the ideal gas constant, T is the temperature in kelvin K, and n is the amount of substance. Suppose a researcher has n = 0.654 moles of neon gas. He observed that T and V are increasing at rates of 3 K/min and 2 L/min, respectively, using the fixed gas constant R= 8.31 J/K.mol, find the rate at which the pressure is changing when V = 12.3 L and T = 447K.Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.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