How many days would the LiOH in the lunar module last for three men exhaling for four days, if they didn’t change the canister?

Question

The Apollo 13 mission used lithium hydroxide to remove the exhaled CO2 from their atmosphere. The lunar module was equipped with enough LiOH for two astronauts during their two-day mission to the moon. How many days would the LiOH in the lunar module last for three men exhaling for four days, if they didn’t change the canister?

2 LiOH(s) + CO2 ----> Li2CO3(s) + H2O

Answer 1

2 men x 2 days = 4 man-days

3 men x 4 days = 12 man-days

12 man-days is 3 x as many as 4 man-days, so the LiOH would last 1/3 as long or about 2/3 of a day.