32.5k views
2 votes
Consider 5.00 L of a gas at 365 mmHg and 20. ∘C . If the container is compressed to 2.50 L and the temperature is increased to 31 ∘C , what is the new pressure, P2, inside the container? Assume no change in the amount of gas inside the cylinder.

1 Answer

2 votes

First convert celcius to Kelvin.

20 + 273 = 293K

31 + 273 = 304K

Now we can set up an equation based on the information we have.

V1 = 5

P1 = 365

T1 = 293

V2 = 5

P1 = x

T2 = 304

The equation be:
((5)(365))/(293) = (5x)/(304)

Now just solve.

1825/293 = 5x/304

Cross multiply.

554800 = 1465x

Divide both sides by 1465

x = 378.7030717 which can then be rounded to 378.7 mmHg

User Wayne See
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.