Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. A radiator is made of copper and is filled to its 15.8 L capacity when at 16.5°C. What volume (in L) of radiator fluid will overflow when the radiator and fluid reach their 95.0°C operating temperature, given that the fluid's volume coefficient of expansion is B = 400 x 10-6/°C? Note that this coefficient is approximate, because most car radiators have operating temperatures of greater than 95.0°C.

Step 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.

A rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20 degrees celsius. An aluminum ring has a diameter of 0.1196 m at a temperature of 20 degrees celsius. The coefficients of thermal expansion for glass and aluminum are 9.0 x 10-6 1/K and 24.0 x 10-6 1/K, respectively. At what temperature will the aluminum ring be able to slip over the glass rod? Between 225 and 250 degrees celsius Between 175 and 200 degrees celsius Between 100 and 125 degrees celsius Higher than 300 degrees celsius Between 250 and 275 degrees celsius Between 125 and 150 degrees celsius Between 275 and 300 degrees celsius Between 150 and 200 degrees celsius O Between 200 and 225 degrees celsius

A 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.

A cylinder of cross sectional area 0.0287 m^2 is filled with an ideal monoatomic gas. A mass of 47.4 kg is placed on top of the piston which is free to move without friction. The piston starts 0.61m above the base of the cylinder. The gas in the piston is initially at a temperature of 454.0 K and the pressure in the lab is 100kPa.How many moles of gas are in the cylinder?