A large sport utility vehicle has a mass of 2.5 * 103 kg. Calculate the mass of CO2 emitted into the atmosphere upon accelerating the SUV from 0.0 mph to 65.0 mph. Assume that the required energy comes from the combustion of octane with 30% efficiency. (Hint: Use KE = 12 mv2 to calculate the kinetic energy required for the acceleration.)
Combustion of natural gas (primarily methane) occurs in most household heaters. The heat given off in this reaction is used to raise the temperature of the air in the house. Assuming that all the energy given off in the reaction goes to heating up only the air in the house, determine the mass of methane required to heat the air in a house by 10.0 C. Assume that the house dimensions are 30.0 m * 30.0 m * 3.0 m; specific heat capacity of air is 30 J>K # mol; and 1.00 mol of air occupies 22.4 L for all temperatures concerned.
When backpacking in the wilderness, hikers often boil water to sterilize it for drinking. Suppose that you are planning a backpacking trip and will need to boil 35 L of water for your group. What volume of fuel should you bring? Assume that the fuel has an average formula of C7H16; 15% of the heat generated from combustion goes to heat the water (the rest is lost to the surroundings); the density of the fuel is 0.78 g>mL; the initial temperature of the water is 25.0 C; and the standard enthalpy of formation of C7H16 is -224.4 kJ>mol.
An ice cube of mass 9.0 g is added to a cup of coffee. The coffee's initial temperature is 90.0 degree C and the cup contains 120.0 g of liquid. Assume the specific heat capacity of the coffee is the same as that of water. The heat of fusion of ice (the heat associated with ice melting) is 6.0 kJ/mol. Find the temperature of the coffee after the ice melts.
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