Question

A storage tank has a volume of 3,000 liters. The tank is originally filled to a pressure of 21.1 megapascals with an ideal gas while the temperature is maintained at 28 degrees Celsius. The tank is heated so the temperature increases to a final temperature of 58 degrees Celsius. What will be the new pressure in the tank in units of megapascals?

Answer 1

It is given that volume is constant i.e 3000 L.

So,
`(T_1)/(P_1)=(T_2)/(P_2)`

Now,

`T_1=28 +273 = 301\ K\\\\T_2=58 + 273 = 331\ K\\\\P_1 = 21.1\ MPa`

Putting all values in above equation, we get :

`(301)/(21.1)=(331)/(P_2)\\\\P_2=(331* 21.1)/(301)\ MPa\\\\P_2=23.20\ MPa`

Therefore, the new pressure will be 23.20 MPa.

Hence, this is the required solution.