The volume of a balloon is 6.52 L at 32.5 ºC and 762 mm Hg pressure. What volume in mL will the balloon have at standard temperature and pressure (STP)?  

The volume of a balloon is 6.52 L at 32.5 ºC and 762 mm Hg pressure. What volume in mL will the balloon have at standard temperature and pressure (STP)?

1 Answer
Nov 13, 2017

STP = #0^oC# #(273^oK)# and 1 atm (760mmHg)
#V_2 = 5840 mL#

Explanation:

The change is calculated from the ideal gas laws:

#((PV)/T)_1 = ((PV)/T)_2#

#((762 xx 6.52)/305.5) = ((760 xx V)/273)#

#V_2 = ((762 xx 6.52)/305.5)/(760/273)#

#V_2 = 16.26/2.78 = 5.84L#

#5.84L xx 1000(mL)/L = 5840 mL#