A 25.0-L sample of nitrogen at 4.45 atm and 23°C is simultaneously expanded to 60.8 L and heated to 37°C.What is the new pressure of the gas?
A) 2.94 atm
B) 1.92 atm
C) 212 atm
D) 326 atm
E) 1.75 atm

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve this problem:

(P1V1)/T1 = (P2V2)/T2

We are given:

P1 = 4.45 atm
V1 = 25.0 L
T1 = 23°C + 273 = 296 K

And we need to find P2 given:

V2 = 60.8 L
T2 = 37°C + 273 = 310 K

Plugging in the values and solving for P2, we get:

P2 = (P1V1T2)/(V2T1) = (4.45 atm * 25.0 L * 310 K)/(60.8 L * 296 K) = 1.92 atm

So the new pressure of the gas is 1.92 atm, which corresponds to choice B.

A 250-L Sample of Nitrogen at 4