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?

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.

(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?

An 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?

A weather balloon is designed to expand to a maximum radius of 22 m at its working altitude, where the air pressure is 0.030 atm and the temperature is 200 K. If the balloon is filled at atmospheric pressure and 309 K, what is its radius at liftoff?