In: Chemistry
Approximately 240 mL/min of CO2 is exhaled by an average adult at rest. Assuming a temperature of 37.0 degrees Celcius and 1.00 atm pressure:
A) How many moles of CO2 is this?
B) How many grams of CO2 is this?
**Please show full work so I can follow the solution for further understanding**
The solution for this question calls for calculations in following steps,
A. (i) Convert the given volume of CO2 at 30o C and 1 atm pressure to its volume at NTP
( ie. at 273 K and 1 atm. pressure ) , using relation P1 V1 / T1 = P2 V2 / T2
Thus , substituting the given values -
P1 = P2 = 1atm. , T1 = ( 273 + 37 ) = 290 K , V1 = 240 ml , V2 = ? , T2 = 273
( 1 x 240 ) / 290 = ( 1 x V2 ) / 273
.......................V2 = ( 240 x 273 ) / 290
............................. = 225.93 ml.
(ii) Since , 22,400 ml of any gas at NTP is equal to one mole......
{ as per Avagadr'os law ( volume amount relationship ) }
...........so 22400 ml of CO2 at NTP = 1 mole
............& 225.93ml--------------------- = 225.93 / 22, 400
.......................................................... = 0.01 moles
B.
Since Number of moles = Weight in grams/ gram molecular mass
...............weight of CO2 = 0.01 x 44
....................................... = 0.44gms