Answer the following questions please!

1. What is the average kinetic energy of a molecule of oxygen at a temperature of 310 K?

2. Calculate the root-mean-square (rms) speed (in m/s) of methane (CH₄) gas molecules at a temperature of 275 K.

3.

Five moles of a helium gas are at a temperature of 440 K. Calculate the average kinetic energy per atom, the root-meansquare (rms) speed of atoms in the gas, and the internal energy of the gas. HINT (a) the average kinetic energy per atom (in J) J (b) the root-mean-square (rms) speed (in m/s) of atoms in the gas rn/s (c) the internal energy of the gas (in J) J At what temperature would the rms speed of deuterium atoms equal the following speeds? (Note: The mass of a deuterium atom is 3.32 x 10-2kg.) (a) the escape speed from Earth, 1.12 x 104 m/s K (b) the escape speed from the Moon, 2.37 x 103 m/s KGas in a container is at a pressure of 1.2 atm and a volume of 7.0 m3. (a) What is the work done on the gas if it expands at constant pressure to twice its initial volume? :1 J (b) What is the work done on the gas if it is compressed at constant pressure to one-quarter of its initial volume? :13 A chemical reaction transfers 8450 J of thermal energy into 13.0 moles of an ideal gas while the system expands by 2.00 x 102 m3 at a constant pressure of 1.69 x 105 Pa. HINT (a) Find the change in the internal energy (in J). :1 (b) Calculate the change in temperature of the gas (in K). |:K