you decide to take a nice hot bath but discover that your thoughtless roommate h

Question

you decide to take a nice hot bath but discover that your thoughtless roommate has used up most of the hot water. You fill the tub with 270 kg of 30.0 degrees celsius water and attempt to warm it further by pouring 5.00 kg of boiling water from the stove.

a) calculate the final temperature of the bath water.

b) calculate the net change in entropy of the system (bath water + boiling water), assuming no heat exchange with the air or the tub itself.

Please show work step by step!! :)

Explanation / Answer

Let the final temperature be T Heat given by one is absorbed by the other => M*s*(T-30) = m*s*(100-T) => 270*(T-30) = 5(100-T) => 54T - 1620 = 100 -T => 53T = 1720 => T = 32.45 degree Celsius

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