Here are some useful constants: Gas constant R : a 31 J/mol K Boltzmann's constant k : 1 35 x 10'23 JIK Avogadm's number: 6 02 x 1023 atoms/mole Stefaanoltzmann o : 5 67 x108 W/m2 K4 cwm, : 4190 J/(kg K) : 1 00 cal/(g C) q:E : 2100 J/(kg K) : 0 so cal/(g 00) WW : 333 x103 J/kg : so cailg vawam : 2260 x 103 Jlkg : 539 cal/g (a) A baseball player moves from the field into the locker room. The length of the aluminum baseball bat is 86.0 cm on the field where the temperature is 17.0 \"C. When the bat is taken into the locker room it lengthens by 0.160 mm. What is the temperature ofthe locker roam7The coefficient of expansion of aluminum is 23 x 10*5 1/ 0c. (b) You notice that even a very small object when it is hot radiates a fair amount of energy. Your instructor wants you to get a feel for how much energy is radiated so she asks you to compare it to the energy radiated by a 100 W light bulb in 1.00 minute. Assume your object is a cube with a side length of 1.00 cm and that it is kept heated to a temperature of 250 0C. We will also assume that the object is a perfect blackbody with s = 1.00. How long will it take for this object to radiate the same amount of energy as the light bulb