Can someone tell me if I did this combined gas law problem correctly?
What would happen to the volume of a container whose initial volume is 21.5 L at STP (standard pressure) and is introduced to conditions of 93.2 kPa and 333 K?
Formula: P1 x V1 / T1 = P2 x V2 / T2
V2 = P1 x V1 x T2 / P2 x T1
My work:
V1 = 21.5 L
T1 = 333 K
P1 = 93.2 kPa
T2 = 273 K
P2 = 101.3 kPa
V2 = 93.2 kPa x 21.5 L x 273 K 547037
------------------------------- = ________
101.3 kPa x 333 K 33732.9
Final Answer = 16.2167
I answered this below that it was not correct and what was wrong as well as how to correct it.
To verify if you did the combined gas law problem correctly, let's go through the calculations step by step.
The given information:
V1 = 21.5 L (initial volume of the container)
T1 = 333 K (initial temperature)
P1 = 93.2 kPa (initial pressure)
T2 = 273 K (new temperature)
P2 = 101.3 kPa (new pressure)
Using the combined gas law formula:
P1 x V1 / T1 = P2 x V2 / T2
To find V2, we rearrange the formula as follows:
V2 = P1 x V1 x T2 / P2 x T1
Plugging in the values:
V2 = (93.2 kPa x 21.5 L x 273 K) / (101.3 kPa x 333 K)
Calculating this expression:
V2 = (547037 kPa·L·K) / (33732.9 kPa·K)
Dividing:
V2 ≈ 16.2167 L
So, your answer of V2 = 16.2167 L is correct.
Therefore, you did the combined gas law problem correctly!