Assuming that van't Hoff type equation can be used to determine the temperature dependence of the amount of the gas adsorbed on the surface of a solid, calculate the enethalpy of adsorption, DeltaH_(ads) for N_(2) at 1 atm. Given that 155 cm^(3) of the gas measured at STP is adsorbed by 1 g of charcoal at 88 K and 15 cm^(3) at 273 K.

Assuming that van't Hoff type equation can be used to determine the te

1.	Assuming that van't Hoff type equation can be used to determine the temperature dependence of the amount of the gas adsorbed on the surface of a solid, calculate the enethalpy of adsorption, DeltaH_(ads) for N_(2) at 1 atm. Given that 155 cm^(3) of the gas measured at STP is adsorbed by 1 g of charcoal at 88 K and 15 cm^(3) at 273 K.
Answer» Solution :van't Hoff type equation for adsorption of a gas at two different temperatures can be written as `ln""(v_(2))/(v_(1))=-(DeltaH_(ads))/(R)((1)/(T_(2))-(1)/(T_(1)))or log ""(v_(2))/(v_(1))=-(DeltaH_(ads))/(2.303R)((1)/(T_(2))-(1)/(T_(1)))` `log ""(155)/(15)=-(DeltaH_(ads))/(2.303xx8.314)((1)/(88)-(1)/(273))` `(2.1903-1.1761)=-(DeltaH_(ads))/(2.303xx8.314)XX(185)/(88xx273)` `DeltaH_(ads)=-2521.7J mol^(-1)=-2.52kJ mol^(-1)`