Physics

Problem

0.200\,\text{kg}

brass bolt (

c_{\text{brass}} = 380\,\text{J}\,\text{kg}^{-1}\,\text{K}^{-1}

) is threaded onto a

0.130\,\text{kg}

aluminum nut (

c_{\text{Al}} = 900\,\text{J}\,\text{kg}^{-1}\,\text{K}^{-1}

). Both start at

25^{\circ}\text{C}

and together absorb

20.0\,\text{kJ}

of heat uniformly so that they reach the same final temperature. Calculate this final temperature.