A tire with an inner volume of 0.025 m³ is filled with air at a gauge pressure of 36psi. If the tire valve is opened to the atmosphere, what volume outside of the tire does the escaping air occupy? Some air remains within the tire occupying the original volume, but now that remaining air is at atmospheric pressure. Assume the temperature of the air does not change.
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A tire with an inner volume of 0.025 m³ is filled with air at a gauge pressure of 36psi. If the tire valve is opened to the atmosphere, what volume outside of the tire does the escaping air occupy? Some air remains within the tire occupying the original volume, but now that remaining air is at atmospheric pressure. Assume the temperature of the air does not change.
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- 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? PaStep 1 (a) The ideal-gas equation describes each condition of the air in the tire. We will set up ratios in order to describe these changes. Dividing the equations PV = nRT in the initial and final states, we have PfVf Tf P¡Vi Ti Solving for the final pressure in the tire, gives Pf = = = which gives I Tf P(V)() P₁ Vf T₁ = (1.013 x 105 Pa) x 105 Pa. Note that the volume V¡ cancels out of the equation. = Vf Po = Pr (V ( ) ( ) Pd Pf Vi V₁ Step 2 (b) After the car is driven, the temperature and volume of air in the tire have changed. Let Td be the temperature and Vd be the volume of air in the tire. We have PdVd Td PfVf Tf' x 105 Pa 273 + 273 + Vf Vf Again we see that the volume Vf cancels out of the equation. °C K °℃ K = x 105 Pa.Large helium-filled balloons are used to lift scientific equipment to high altitudes. a) What is the pressure, in atmospheres, inside such a balloon if it starts out at sea level with a pressure of one atmosphere and a temperature of 10.0°C and rises to an altitude where its volume is twenty times the original volume and its temperature is -49.5°C ? b) What is the gauge pressure, in atmospheres, in the balloon then? (Assume the atmospheric pressure is constant.)
- A bicycle tire has a pressure of 6.80 ✕ 105 N/m2 at a temperature of 19.0°C and contains 2.30 L of gas. What will its pressure be (in Pa) if you let out an amount of air that has a volume of 120 cm3 at atmospheric pressure? Assume tire temperature and volume remain constant. _________PaThe 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.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?