A brass rod of 0.2 kg at 1000C is dropped into 0.5 kg of water at 200C. The final temperature of the mixture is 230C. Calculate the specific heat capacity of brass(given specific heat capacity of water= 1cal/gm0C).

Dear Student,

The water will heated while the rod brass will be cooled. We can write the heat balance equation,mwcwT-tw=mbcbtb-Twhere, mw=mass of watercw=specific heat capacity of watertw=temperature of watermb=mass of brasscb=specific heat capacity of brasstb=temperature of brassT=final temperature of mixturecw=4200 J/kg°Ccb=mwcwT-twmbtb-Tcb=0.5×420023°-20°0.2×100°-23°cb=409.09 J/kg°C

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