A sealed cubical container 9.3 cm on a side contains three times Avogadro's number of molecules at a temperature of 24°C. Find the force (in kN) exerted by the gas on one of the walls of the container. (Answer in 1 decimal place)
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- Oxygen with mass of m1=6 g and temperature T1=300 K is in a container under pressure p1= 9.66·105 Pa. If an unknown gas with mass m2= 3 g and temperature T2=330 K is placed in the same container, then the gas is under pressure p2=9·105 Pa. Find the molar mass of the unknown gas.An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 31.0% of its original volume and the temperature is increased to 48.0°C. (a) What is the tire pressure in pascals?(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 basketball is pressurized to a gauge pressure of PG = 55 kPa when at the surface of a swimming pool. (Patm = 101 kPa). The ball is then submerged in the pool of water which has a density ρ = 1000 kg/m3. Assume the ball does not change in mass, temperature, or volume as it is submerged. Calculate the absolute pressure inside the basketball in kPa when it is at the surface. Write an equation for the pressure difference ΔP between the inside and outside of the ball when it is submerged a distance y below the surface of the water. Solve the pressure equation for the depth (in meters) at which the pressure difference between the inside and outside of the ball will become zero. At this depth the pressure inside the basketball is the same as the pressure outside the ball.
- Three moles of a monoatomic ideal gas are placed in a portable container with a volume of 3.80 x10-3 m3. Thetemperature of the gas is 180 °C. What is the average kinetic energy per molecule?Two glass containers, of equal volume each hold a mole of gas. Container 1 is filled with hydrogen gas (molar mass 2 g / mol), and Container 2 holds helium (molar mass 4 g / mol). If the pressure of the gas in Container 1 equals the pressure of the gas in Container 2, which of the following is true? (a) The temperature of the gas in Container 1 is lower than the temperature of the gas in Container 2. (b) The temperature of the gas in Container 1 is greater than the temperature of the gas in Container 2. (c) The value of R for the gas in Container 1 is ½ the value of R for the gas in Container 2. (d) The rms speed of the gas molecules in Container 1 is lower than the rms speed of the gas molecules in Container 2. (e) The rms speed of the gas molecules in Container 1 is greater than the rms speed of the gas molecules in Container 2.Consider two containers with the same volume and temperature. The first container is labelled "Dry" and holds "dry" air = a ratio of nitrogen (N2) and oxygen (O2). The second container is labelled "Humid" and holds "moist" air = the SAME ratio of nitrogen and oxygen, but also contains water (H2O) vapor. According to the ideal gas law, if the pressures are equal, the weight of the gas inside the "Dry" container will be
- 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 39.0°C. (a) What is the tire pressure in pascals? 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? PaThere 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?A certain amount of gas at 25.0°C and at a pressure of 0.650 atm is contained in a glass vessel. Suppose that the vessel can withstand a pressure of 2.00 atm. How high can you raise the temperature of the gas without bursting the vessel? In other words, at what temperature will the glass vessel shatter, in degrees Celsius.