Question

A gas has a pressure of 5 psi at 50 F. What is the pressure at 0 F?

Answer 1

The pressure at 0°F would be 4.5psi

Step-by-step explanation:

Given-

Pressure, P1 = 5psi

Temperature, T1 = 50°F

T2 = 0°F

P2 = ?

To convert Fahrenheit to Kelvin we have to apply the formula:

(x°F 32) X 5/9 + 273.15

So,

0°F = (0-32) X 5/9 + 273.15 = 255.372K

50°F = (50-32) X 5/9 + 273.15 = 283.15K

According to gas equation,

`(P1)/(T1) = (P2)/(T2) \\\\(5)/(283.15) = (P2)/(255.372)\\\\P2 = ((5) (255.372))/((283.15))\\ \\P2 = 4.5psi`

Therefore, the pressure at 0°F would be 4.5psi