37. (a) What is the gauge pressure in a 25.0°C car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0°C? Assume the temperature returns to 25.0°C and the volume remains constant.
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- A closed, rigid container with a given mass of helium gas is heated until the temperature is doubled. Which of the following statements is TRUE? A The pressure of the gas is unchanged, because there is no relationship between temperature and pressure. The pressure of the gas is unchanged, because helium gas is lighter than the air outside the container. The pressure of the gas also doubles, because temperature and pressure are directly related. D. The pressure of the gas is halved, because temperature and pressure is inversely related. ©2021 Iluminate Education TM, Inc.A gas condensed in a cylinder with a nozzle is initially at p_1=2000 Pa, V_1= 2.0 l, and t_1=300 K. a) If the volume decreases to 0.50 L while the temperature remains low, what is the new pressure?b) If in a) the temperature increases to 400 K when the volume changes, what will be the new pressure?33. A bicycle tire has a pressure of 7.00 × 10° N/m² at a temperature of 18.0°C and contains 2.00 L of gas. What will its pressure be if you let out an amount of air that has a volume of 100 cm³ at atmospheric pressure? Assume tire temperature and volume remain constant.
- 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.A container holds 0.420 m3 of oxygen at an absolute pressure of 3.80 atm. A valve is opened, allowing the gas to drive a piston, increasing the volume of the gas until the pressure drops to 1.40 atm. If the temperature remains constant, what new volume (in m') does the gas occupy? HINT m3 Need Help? Read It Watch ItA hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.