Calculate the volume (in m^3) of helium needed in a hot air balloon to lift at least 100 kg of load. Density of He = 0.179 kg/m^3, density of air = 1.29 kg/m^3 (Ans: 90) To solve the problem, which of the following equation/s can be use (check as many that best applies)

Q: An auditorium measures 35.0 m x 25.0 m x 11.0 m. The density of air is 1.20 kg/m3. (a) What is the…

A: Dimensions of auditorium, 35.0 m x 25.0 m x 11.0 mThe density of air is 1.20 kg/m³

Q: What mass of fresh water (in kg) can be contained in a box whose dimensions are 298 mm by 281 mm by…

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Q: You have an 18-carat gold coin (an alloy of gold and copper). Its mass is 6 grams. Using the fact…

A: Given: Mass of gold coin =6 grams Density of pure gold =19300 kg /m3 Density of copper =8960 kg /m3

Q: An auditorium measures 40.0 m x 20.0 m x 12 m. The density of air is ρ =1.20 kg/m3       (a)…

A: The objective of the question is to calculate the volume of the auditorium in cubic feet and the…

Q: A straightforward method of finding the density of an object is to measure its mass and then measure…

A: Given value--- mass , m = 230 g. Volume , V = 88 cm^3 . We have to find--- density ?

Q: The atmospheric pressure P(x) (measured in inches of mercury) at height x miles above sea level…

A: Given: The atmospheric pressure (P(x)) above the sea level satisfies the differential equation…

Q: Given the average heart rate of a human is 7.00 beats per minute and the average volume flow of…

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Q: As an agricultural engineer, you must design a trapezoidal open channel to carry irrigation water…

A: Given Cross-sectional area A = 55 m2 Determine the optimal dimensions to minimize the wetted…

Q: Let's begin with a simple calculation of the weight of air using density. Find the mass of air and…

A: Given data The length of the room is l = 4.4 m. The width of the room is w = 6.1  m. The height of…

Q: (a) Let s(t) be the amount of salt in the tank at time t. Find a differential equation governing…

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Q: (a) Assuming that water has a density of exactly 1 g/cm³, find the mass of 1.60 cubic meters of…

A: Solution:- 1) The density, of a material is defined as       density(ρ) = mass/ Volume i.e.…

Q: A study room has dimensions of 8 m by 10 m and 3.5 m tall. The air in the room is to be exchanged 7…

A: Given: dimension of room: 8 m × 10 m × 3.5 m velocity of air, v = 8.3 m/s time taken to remove air 7…

Q: F(r) = A B p² p3 +

A: Have a look dear

Q: An oil circulates through a pipe (SG = 0.85), if the speed of the oil is 20 m / s and the diameter…

A: Volumetric flow is speed of oil multiplied by cross sectional area of pipe. Velocity =20m/s Diameter…

Q: Calculate the volume of the tube which represents the stagnant volume this will become the accepted…

A: The direct consequence of Boyle’s law, at a constant temperature, is that the volume (V) of a…

Q: A U.S. 1-cent coin (a penny) has a diameter of 19 mmmm and a thickness of 1.5 mmmm. Assume the coin…

A: diameter of coin= 19 mm Radius of coin (r) = 9.5 mm Thickness (t) of coin = 1.5 mm density of pure…

Q: Perform an order of magnitude estimate for the mass of the water it takes to fill your tub…

A: To estimate the mass of the water required to fill a bathtub halfway, we can use the density of…

Q: A car engine moves a piston with a circular cross section of 7.800 ± 0.009 cm diameter a distance of…

A: ³V=154.262862cm³Average volumeπ²V=πr²h  r=7.8cm h=3.23cmπ²V=π(3.9)²(3.23)³V=154.262862cm³

Q: 1.6) Consider the duct system shown in figure Q1.6. Air flows through two 200 mm x 400 mm ducts that…

A: To solve this problem, we can use the principle of continuity, which states that the volume flow…

Q: Painting the entire exterior surface of a cube with edge length S = 1.26 meters reduces paint level…

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Q: A rod of length 24.00 cm has linear density (mass per length) given by λ = 50.0 + 24.5x where x is…

A: length, L=24 cmλ=50+24.5x

Q: Physicians use a machine called a spirometer to measure the maximum amount of air a person can…

A: In this question we are given that physicians use a machine called a spirometer to measure the…

Q: A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented…

A: Consider the whole triangle and the small inner triangle with the slice as the base. These are…

Q: Your calculated density of aluminum is d = 2.7 g/cm³. The accepted value of the aluminum density is…

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Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

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Q: A cylinder containing 100.9 cubic centimeter of gas at a pressure of 376 kPa when its temperature is…

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Q: What is the approximate mass of air in a living room 4.3 m x 3.4 m x 2.8 m? The density of air is…

A: Given data: The dimension of room is l×b×h=4.3 m×3.4 m×2.8 m. The density of air is ρ=1.29 kg/m3.