1a. A container of volume 3.2 × 10-6 m3 is filled with helium gas at a...

1a. A container of volume 3.2 × 10-6 m3 is filled with helium gas at a pressure of 5.1 × 105 Pa and temperature 320 K. Assume that this sample of helium gas behaves as an ideal gas.

The molar mass of helium is 4.0 g mol-1. Show that the mass of a helium atom is 6.6 × 10-27 kg.

1b. Estimate the average speed of the helium atoms in the container.

1c. Show that the number of helium atoms in the container is about 4 × 1020.

1d. A helium atom has a volume of 4.9 × 10-31 m3.

Calculate the ratio total volume of helium atomsvolume of helium gas.

1e. Explain, using your answer to (d)(i) and with reference to the kinetic model, why this sample of helium can be assumed to be an ideal gas.

Expert Solution

genius_generous answered 2 years ago

A helium-filled balloon has a volume of 0.010 m3. The temperature in the room and in...

A helium-filled balloon has a volume of 0.010 m3. The temperature in the room and in the balloon is 20 C What are the average speed of a particle of helium inside the balloon? What is the thermal energy of the helium in the balloon? Assume that due to stretching of the balloon the pressure inside it is 1.1 atm.

A child holds a helium-filled rubber balloon with a volume of 0.01 m3 in air at...

A child holds a helium-filled rubber balloon with a volume of 0.01 m3 in air at 0 degrees C. Neglect the weight of the rubber and string and the buoyant force of the air on the child. (a) How great a force must she exert to keep the balloon from rising? (b) How many such balloons would it take to lift a 20-keg child? Some useful data: At 0 degrees C, the density of the helium is 0.178 kg/m3 and...

A balloon filled with 39.1 moles of helium gas has a volume of 876 L at...

A balloon filled with 39.1 moles of helium gas has a volume of 876 L at 0.0°C and 1.00 atm pressure. At constant pressure, the temperature of the balloon is increased to 38.0°C causing the balloon to expand. Calculate q, w, ∆E for the helium in the balloon. The specific heat of helium gas is 5.20 J/(g °C) and 101.3 J = 1 Latm.

2. A cylinder is filled with helium gas at 323 K and 118 atmospheres. The volume...

2. A cylinder is filled with helium gas at 323 K and 118 atmospheres. The volume of the cylinder is 3.07 liters. What is the total number of atoms in the gas? 3. One mole of helium gas at 297 K is allowed to expand slowly (isothermally) from an initial volume of 3.50 liters to a final volume of 16.1 liters. How much heat flows into the gas? 4. Helium gas is kept in a container surrounded by perfect vacuum...

A container is filled with 8.20 g helium, 6.50 g nitrogen gas and 4.40 g neon...

A container is filled with 8.20 g helium, 6.50 g nitrogen gas and 4.40 g neon gas. The total pressure of the container is 1240 mmHg. What is the partial pressures of each gas.

A rectangular storage container with an open top is to have a volume of 10 m3....

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

an elastic container filled with an ideal gas occupies 148 L volume at 85 degree c...

an elastic container filled with an ideal gas occupies 148 L volume at 85 degree c . what would the volumevbe at 15 degree c?

A balloon is filled up completely with helium gas and left in a room with a...

A balloon is filled up completely with helium gas and left in a room with a controlled temperature of 230C. After two days of being in the same room, the balloon was found to have shrunk to half its filled-up size. However, there was no leakage of helium gas from the balloon during the two days. Explain what happened to the pressure inside the balloon due to the change in the size of the balloon. ? Use Boyle's Law to explain...

A balloon filled with helium has a volume of 37.7 L at 299 K. What volume...

A balloon filled with helium has a volume of 37.7 L at 299 K. What volume will the balloon occupy at 267 K?

A volume of 8.62 m3 of air in a rigid, insulated container fitted with a paddle...

A volume of 8.62 m3 of air in a rigid, insulated container fitted with a paddle wheel is initially at 322 K, 0.4 bar. The air receives 481 kJ by work from the paddle wheel. Assuming the ideal gas model with cv = 0.71 kJ/kg • K, determine for the air the amount of entropy produced, in kJ/K.

Question