Two objects arc placed in thermal contact but are insulated from their surroundi

Question

Two objects arc placed in thermal contact but are insulated from their surroundings. Object 1 is initially at a temperature of 100 degree C and object 2 is initially at a temperature of 300 degree C. If object 1 has twice the specific heat and half the mass of object 2 then what is the final temperature of the system when it reaches thermal equilibrium? Greater than 200 degree C 200 degree C Less than 200 degree C Consider two stars that radiate as ideal radiators. Star 1 has twice the temperature and half the radius of star 2. What is the ratio of rates of radiation of star 1 to star 2? 8 4 1 (same rates of radiation) 1 / 2

Explanation / Answer

a. mcT = mcT

m/2 * 2 C * (100+Tf) = mc (300-Tf)

2 tf = 200

Tf = 100 C

answer is less than 200.

b. H = Q/t   = Ae sigma T^4

    H1/H2 = r1^1 * T1^4/r1^2/4 * 16 T1^4

H2/H1 = 4      answer

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