Related questions
Question
thumb_up100%
Transcribed Image Text:A helium balloon is used to lift a load of 110 N. The weight of the balloon's skin is 50 N and the volume of the
balloon when fully inflated is 32m³. The temperature of the air is 0°C and the atmospheric pressure is 1 atm.
The balloon is inflated with sufficient helium gas that the net force on the balloon and its load is 30 N. Neglect
changes of temperature with altitude. (a) How many moles of helium gas are contained in the balloon? (b) At
what altitude will the balloon be fully inflated? (c) Does the balloon ever reach the altitude at which it is fully
inflated? (d) If he answer to (c) is affirmative, what is the maximum altitude attained by the balloon?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 5 images
Knowledge Booster
Similar questions
- A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 2.10 x 107 N/m2 and a temperature of 14.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry Ice temperatures (-78.5°C), to reduce the leak rate and pressure so that it can be safely repaired. (a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change? N/m² (b) What is the final pressure if one-tenth of the gas escapes? N/m² (c) To what temperature must the tank be cooled to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)? K Additional Materialsarrow_forwardA high-pressure gas cylinder contains 50.13 L of toxic gas at a pressure of 1.40 × 10¹N/m² and a temperature of 25.0°C. Its value leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5°C) to reduce the leak rate and pressure so that it can be safely repaired. (a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change?arrow_forward(a) How many molecules are present in a sample of an ideal gas that occupies a volume of 1.90 cm³, is at a temperature of 20°C, and is at atmospheric pressure? molecules -11 (b) How many molecules of the gas are present if the volume and temperature are the same as in part (a), but the pressure is now 1.50 x 10¯ Pa (an extremely good vacuum)? moleculesarrow_forward
- A spherical balloon of volume 4.07 x 10³ cm³ contains helium at a pressure of 1.21 x 105 Pa. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is 3.60 x 10-2² J? molarrow_forwardThere are 1.5 times as many molecules as Avogadro's number at a temperature of 2.1°C inside a sealed cube with dimensions 3.0 cm ✕ 3.0 cm ✕ 3.0 cm. How much force does the gas exert on one of the walls of the cube?arrow_forwardA vertical cylindrical tank contains 1.80 mol of an ideal gas tinder a pressure of 0.300 atm at 20.0°C. The round part of the tank has a radius of 10.0 cm, and the gas is supporting a piston that can move up and down in the cylinder without friction. There is a vacuum above the piston. What is the mass of this piston?arrow_forward
- The density of helium gas at 0.0◦C is0.16 kg/m3kg/m3. The temperature is thenraised to 102 ◦C, but the pressure is kept constant.Assuming that helium is an ideal gas, calculate the new density of the gas.Answer in units of kg/m3.arrow_forward(a) How many atoms of helium gas fill a spherical balloon of diameter 30.6 cm at 21.0°C and 1.00 atm?(b) What is the average kinetic energy of the helium atoms?(c) What is the rms speed of the helium atoms?arrow_forwardAn automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 27.0% of its original volume and the temperature is increased to 38.0°C. (a) What is the tire pressure in pascals? Use the ideal gas law to find the pressure inside the tire from its volume and temperature. Pa(b) After the car is driven at high speed, the tire's air temperature rises to 85.0°C and the tire's interior volume increases by 3.00%. What is the new tire pressure (absolute) in pascals?arrow_forward
arrow_back_ios
arrow_forward_ios