Problem $4$: A $20-m^3$ tank holds nitrogen at $25C$ and $800$kPa. Some nitrogen is allowed to escape until the tank pressure falls to $600$kPa. If the temperature at this point is $20C,$ calculate the amount of nitrogen that has escaped. or $($:$k\frac{g}{k}$mol$\}$

Problem $5$: The variation of the dynamic viscosity of water with absolute temperature is given as

$\backslash$table$[[T(K),($Pa$.$s$)],[273\mathrm{.}15,0\mathrm{.}001787],[278\mathrm{.}13,0\mathrm{.}001519],[283\mathrm{.}15,0\mathrm{.}001307],[293\mathrm{.}15,0\mathrm{.}001002],[303\mathrm{.}15,0\mathrm{.}000798],[313\mathrm{.}15,0\mathrm{.}000653],[333\mathrm{.}15,0\mathrm{.}000467],[353\mathrm{.}15,0\mathrm{.}000355],[373\mathrm{.}15,0\mathrm{.}000283]]$

Using tabulated data, develop a relation for viscosity in the form of $=(T)=A+B**T+C^{**}{T}^2+D^{**}{T}^3+E^{**}{T}^4$ and Using the relation developed, predict the dynamic viscosity of water at $50C$ at which the reported value is ${5\mathrm{.}468}^{\text{'}\text{'}}{10}^{-4}Pa.$s$.$

Problem $6$: The absolute pressure of an automobile tire is measured to be $290$kPa and $20C$ before a trip and $310$kPa after the trip. Assuming the volume of the tire remains constant at $0\mathrm{.}022m^3,$ determine the temperature after the trip and the percent increase in the absolute temperature of the air in the tire. $($Assume air is an ideal gas.$)$