An empty 4.00 L steel vessel is filled with 1.00 atm of CH4(g) and 4.00 atm of O2(g) at 300 °C. A spark causes the CH4 to burn completely, according to the equation:
CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(g) ΔH = -802 kJ
a. What mass of CO2 is produced in the reaction?
b. What is the final temperature inside the vessel after combustion? You may assume the steel vessel has a mass of 14.500 kg, the mixture of gases has an average molar heat capacity of21 J/mol°C, and the specific heat of steel is 0.449 J/g°C.
c. What is the partial pressure of CO2 and the total pressure in the vessel after combustion?
d. What is the average speed of the CO2 molecules in the vessel after combustion (at the temperature you determined in part b)?

2) Microwave ovens have become popular in kitchens everywhere. They are also used in
the laboratory, particularly in drying samples for chemical analysis. A typical microwave
oven uses radiation with a 12.2 cm wavelength.
a. How many moles of photons of this radiation are required to raise the temperature
of 345 g of water from 26.5 ºC to 99.8 ºC?
b. The watt is a unit of power—the rate at which energy is delivered or consumed: 1
W = 1 J/s. Assume that all the energy of a 700. W microwave oven is delivered to
the heating of water described in (a). How long will it take to heat the water?

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1 Combustion of CH4 in an O2 atmosphere a Mass of CO2 produced The balanced chemical equation for the combustion of CH4 is CH4g 2 O2g CO2g 2 H2Og Usin... View the full answer