A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points)Group of answer choices432.3 kg284.2 kg2,043.7 kg5,435.3 kg
Question
A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points)Group of answer choices432.3 kg284.2 kg2,043.7 kg5,435.3 kg
Solution
To find the mass of the helium in the balloon, we need to multiply the volume of the helium by its density.
Step 1: Identify the volume and density given in the problem. The volume (V) is 1,592 cubic meters and the density (D) is 0.1785 kilograms per cubic meter.
Step 2: Use the formula for finding mass when volume and density are known. The formula is Mass = Volume x Density.
Step 3: Substitute the given values into the formula. Mass = 1,592 cubic meters x 0.1785 kilograms per cubic meter.
Step 4: Perform the multiplication to find the mass. Mass = 284.2 kilograms.
So, the balloon contains approximately 284.2 kilograms of helium, rounded to the nearest tenth of a kilogram. The correct answer from the given choices is 284.2 kg.
Similar Questions
A balloon is filled with 36.6 liters of helium gas. What is the mass of the helium at STP?[?] grams He1 mole = 22.4 L of gas at STPReport your answer with the appropriate number of significant figures.
A hot-air balloon must support its own weight plus aperson for a total weight of 1300 N. The balloon material has amass of 60 g/m2. Ambient air is at 25°C and 1 atm. The hot airinside the balloon is at 70°C and 1 atm. What diameter sphericalballoon will just support the weight? Neglect the size of the hot-airinlet vent.4950
The gas in a balloon occupies 3.50 L at 300 K. At which temperature will the balloon expand to 8.50 L?*1 point72.57 K7258.7 K728.57 K7.2557 K
An arctic weather balloon is filled with 23.2L of helium gas inside a prep shed. The temperature inside the shed is 5.°C. The balloon is then taken outside, where the temperature is 6.°C. Calculate the new volume of the balloon.You may assume the pressure on the balloon stays constant at exactly 1atm. Be sure your answer has the correct number of significant digits.L
(d) The air in the balloon had a mass of 0.00320 kgThe temperature of the air in the balloon decreased by 215 °CThe change in thermal energy of the air in the balloon was 860 JCalculate the specific heat capacity of the air in the balloon.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.