An ideal gas is at a pressure 2.28 × 105 N/m2 and occupies a volume 2.00 m^3. (a) If the gas is expanded to a volume 4.00 m^3 while the temperature remains constant, what will be the new pressure in the gas? (b) What is the root-mean-square (thermal) speed of a gas molecule of this gas if the gas is 5.89kg of oxygen (O2)?
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An ideal gas is at a pressure 2.28 × 105 N/m2 and occupies a volume 2.00 m^3.
(a) If the gas is expanded to a volume 4.00 m^3 while the temperature remains constant, what will be the new pressure in the gas?
(b) What is the root-mean-square (thermal) speed of a gas molecule of this gas if the gas is 5.89kg of oxygen (O2)?
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- (a) A tank contains one mole of helium gas at a pressure of 6.35 atm and a temperature of 22.0°C. The tank (which has a fixed volume) is heated until the pressure inside triples. What is the final temperature of the gas? °C (b) A cylinder with a moveable piston contains one mole of helium, again at a pressure of 6.35 atm and a temperature of 22.0°C. Now, the cylinder is heated so that both the pressure inside and the volume of the cylinder double. What is the final temperature of the gas? °CTwo moles of a helium gas are at a temperature of 260 K. Calculate the average kinetic energy per atom, the root-mean-square (rms) speed of atoms in the gas, and the internal energy of the gas. HINT (a) the average kinetic energy per atom (in J) J (b) the root-mean-square (rms) speed (in m/s) of atoms in the gas m/s (c) the internal energy of the gas (in J) J(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)? molecules
- Helium gas is in a cylinder that has rigid walls. If the pressure of the gas is 2.00 atm, then the root-mean-square speed of the helium atoms is vrms = 176 m/s. By how much (in atmospheres) must the pressure be increased to increase the vrms of the He atoms by 100 m/s? Ignore any change in the volume of the cylinder.Container A contains an ideal gas at a pressure of 5 × 10° Pa and at a temperature of 300 K. It is connected by a thin tube to container B which is four times the volume of A, and contains the same ideal gas at a pressure of 1 x 105 Pa at a temperature of 400 K. The connecting valve is opened, and equilibrium is achieved at a common pressure while the temperature of each container is kept constant at its initial value. What is the final pressure in the system?Two massless, frictionless pistons are inside a horizontal tube opened at both ends. A 10-cm-long thread connects the pistons. The cross-sectional area of the tube is 20 cm2. The pressure and temperature of gas between the pistons and the outside air are the same and are equal to P = 1.0×10^5 N/m^2 and T = 21C. At what temperature will the thread break if it breaks when the tension reaches 32 N ?