Question

18th of medical oxygen gas was accidentally left partially open overnight during a power outage. It went from a pressure of 6.2 ATM to 2.4 ATM overnight the temperature from 18 C to 25C how many moles of oxygen were left assuming it held for 32 miles of gas .

Answer 1

To find the number of moles of oxygen left, we can use the ideal gas law equation PV = nRT. Rearrange the equation and plug in the given values to calculate the final number of moles.

We get 84.47 moles of oxygen .

Step-by-step explanation:

To solve this problem, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperatures from Celsius to Kelvin by adding 273 to each value. So, the initial temperature is 18 + 273 = 291 K and the final temperature is 25 + 273 = 298 K.

Next, we can use the formula (P1 * V1) / (n1 * T1) = (P2 * V2) / (n2 * T2) to find the number of moles of oxygen left. Rearranging the equation and plugging in the given values, we get:

(6.2 * 32) / (n1 * 291) = (2.4 * 32) / (n2 * 298)

Simplifying the equation and solving for n2:

n2 = (n1 * 291 * 2.4 * 32) / (298 * 6.2)

Finally, substitute the given value of n1 = 32 moles into the equation to calculate n2:

n2 = (32 * 291 * 2.4 * 32) / (298 * 6.2)

n2 ≈ 84.47 moles of oxygen were left.