DO NOT USE CHAT GPT DO NOT USE ANY AI$.$ A $0\mathrm{.}5k\frac{g}{s}$ oil stream with a heat capacity of $2050\frac{J}{k}\frac{g}{K}$ is cooled from $380K$ to $350K$ via

heat exchange with a $0\mathrm{.}2k\frac{g}{s}$ water stream with an inlet temperature of $280K.$ The heat

capacity of water is $4186\frac{J}{k}\frac{g}{K}.$ The heat transfer coefficient is $200\frac{W}{m^2}\frac{?}{K}.$

$($a$)$ What is the outlet temperature of the water stream?

$(2$ points$)$

$($b$)$ What are the LMTD and required heat transfer area for a co$-$current double$-$pipe exchanger?

$(1$ point$)$

$($c$)$ What are the LMTD and required heat transfer area for a counter$-$current double$-$pipe

exchanger? By what percentage is the counter$-$current heat exchanger area lower than that of

the co$-$current heat exchanger?

$(1$ point$)$

$($d$)$ What are the correction factor, $F_t,$ and required heat transfer area for a $2-4$ shell$-$and$-$tube

exchanger?

$(1$ point$)$