Question

A gas at 5.00 atm pressure was stored in a tank during the winter at 5.0 °C. During the summer, the temperature in the storage area reached 40.0 °C. What was the pressure in the gas tank then?

Answer 1

Answer:

5.63 atm

Explanation:

P1 = 5 atm

P2 = ?

T1 = 5 °C = 5 + 273 = 278 K

T2 = 40 °C = 273 + 40 = 313 K

Let the pressure is P2.

Use

Pressure is directly proportional to the absolute temperature as the volume remains constant.

$\frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$

$\frac{5}{278}=\frac{P_{2}}{313}$

P2 = 5.63 atm

Thus, the pressure is 5.63 atm.