two streams of carbon tetrachloride are mixed and heated to yield a single stream at $200$ Celsius and $1$ atm. One of the feed stream is at $30$ Celsius and $1$ atm with a flow rate of $1000$ kg$/$h$.$ The other feed stream is at $70$ Celsius and $1$ atm with a flow rate of $500$ kg$/$h$.$

Calculate the rate $($kW$)$ at which heat must be supplied to the mixer. Your solution must begin with the most general form of the law of conservation of energy, indicating which energy terms can be neglected and giving the reason for each. Carbon tetrachloride can be considered as benzene in any calculations requiring the use of data that are not available to you. $($Answer: $135\mathrm{.}3$ kW$)$