Question

HELP PLEASE

A steel tank of nitrogen gas is left in the sun. Initially, the gas's pressure is 150 atm at 27 degrees Celsius. The tank heats up to 55 degrees Celsius after several hours in the sun. What is the new pressure of the gas in the tank?

Answer 1

164atm

Step-by-step explanation:

Given parameters:

Initial pressure = 150atm

Initial temperature = 27°C = 27 + 273 = 300K

New temperature = 55°C = 328K

Unknown:

New pressure = ?

Solution:

At constant volume, the pressure of a given gas varies directly with the absolute temperature.

Mathematically;

`(P_(1) )/(T_(1) )` =
`(P_(2) )/(T_(2) )`

P and T are pressure and temperature values

1 and 2 are the initial and new states

Insert the parameters and solve;

`(150)/(300)` =
`(P_(2) )/(328)`

300P₂ = 150 x 328

P₂ = 164atm