Question

A sample of gas occupies a volume of 50.0 milliliters in a cylinder with a movable piston. The pressure of the sample is 0.90 atm and the temperature is 298K. What is the volume of the sample at STP?

Answer 1

The new volume is 41 mL.
Step-by-step explanation:
Use the combined gas law
P
1
V
1
T
1
=
P
2
V
2
T
2
.
STP=273.15 K and 1 atm
Given/Known
P
1
=
0.90 atm

V
1
=
50.0 mL

T
1
=
298 K

P
2
=
1 atm

T
2
=
273.15 K
Unknown
V
2
Solution
Rearrange the equation to isolate
V
2
and solve.
P
1
V
1
T
1
=
P
2
V
2
T
2
V
2
=
P
1
V
1
T
2
T
1
P
2
V
2
=
0.90
atm
×
50.0
mL
×
273.15
K
298
K
×
1
atm
=
41 mL