Answer:
She lost 50.88 moles
Explanation:
Step 1: Data given
The volume of the tank = 124.0 L
The initial pressure = 104.0 atm
The temperature = 24.0 °C = 297 K
The pressure drops to 94.0 atm
The temperature stays constant at 297 K
Step 2: Calculate the initial number of moles
p*V = n*R*T
n = (p*V)/(R*T)
⇒with p = the initial pressure = 104.0 atm
⇒with V = the initial volume = 124.0 L
⇒with n = the initial number of moles = TO BE DETERMINED
⇒with R = the gas constant = 0.08206 L*atm/mol*K
⇒ with T = the temperature= 297 K
n = (104.0*124.0)/(0.08206*297)
n = 529.14 moles
Step 3: Calculate final number of moles
p*V = n*R*T
n = (p*V)/(R*T)
⇒with p = the initial pressure = 94.0 atm
⇒with V = the initial volume = 124.0 L
⇒with n = the initial number of moles = TO BE DETERMINED
⇒with R = the gas constant = 0.08206 L*atm/mol*K
⇒ with T = the temperature= 297 K
n = (94.0*124.0)/(0.08206*297)
n = 478.26 moles
Step 4: Calculate the difference of moles
529.14 moles - 478.26 moles = 50.88 moles
She lost 50.88 moles
