Question

A container of carbon dioxide has a volume of 240 mL at a temperature of 22°C. If the pressure remains constant, what is the volume at 44°C?​

Answer 1

Answer:

Volume of the $CO_{2}$ gas at 44°C is 258 ml.

Explanation

here,

using Charles' law ,

$\frac{V}{T} =\frac{v}{t}$

where , V= initial volume          v= final volume

             T=initial temperature    t = final temperature

Given - pressure is constant ,

so , putting the values -

V= 240ml

T= 22 + 273K = 295K                      (since converting celsius into kelvin that

                                                         is +273K )

v =?

t = 44+ 273K = 317K

Now , putting the given values in charles' law ,

$\frac{240ml}{295K} =\frac{v}{317K}$

240ml x317K = v x 295K     (through cross multiplication )

v =$\frac{240ml\times317K}{295K}$

= 258ml .

thus , the volume of carbon dioxide in a container at 44°C IS 258ml .