4. A gas with a pressure of 5.4 atm and at 25C is raised to a new temperature of 78C.
What is the new pressure? (Show all of your work including identifying variables,
equation and your work)

The answer for the following problem is mentioned below.

Explanation:

Given:

Initial pressure () = 5.4 atm

Initial temperature () = 25°C = 273 + 25 = 298 K

Final temperature () = 78°C = 273 + 78 = 351 K

To solve:

Final pressure ()

We know,

From the ideal gas equation,

P × V = n × R × T

Here from the above equation we can tell that ;

      P ∝ T

So;

we can write as;

  = constant

(i.e.)

        =

Where;

= Initial pressure of the gas

= final pressure of the gas

= initial temperature of the gas

= final temperature of the gas

               =

                =

                = 6.3 atm

Therefore the final pressure of the gas is 6.3 atm

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