A student adds 5.00 g of dry ice (solid #CO_2#) to an empty balloon. What will be the volume of the balloon at STP after all the dry ice sublimes (converts to gaseous #CO_2#)?

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Answer 1 · 2016-05-05T21:36:38

#V=2.56L#

Assuming that the #CO_2# gas is behaving ideally, therefore, we can use the ideal gas law to find the volume occupied by the gas in a ballon by:

#PV=nRT=>V=(nRT)/P#

At STP, the pressure is #P=1atm# and the temperature is #T=273K#.

To find the number of mole of #CO_2#, we can use the given mass as:

#n=m/(MM)#, where #MM=44g/(mol)# is the molar mass of #CO_2#.

#=>n=(5.00cancel(g))/(44cancel(g)/(mol))=0.114 mol#

Therefore, the volume is:
#=>V=(nRT)/P=(0.114cancel(mol)xx0.0821(L*cancel(atm))/(cancel(K)*cancel(mol))xx273cancel(K))/(1cancel(atm))=2.56L#