Question

the volume of a given mass of gas is 300cm³ at 27⁰c and 700mmhg what will be the volume at 35⁰c and 750mmhg

Answer 1

In gases, the change in volume is directly proportional to temperature and inversely proportional to pressure. That is,

$\cfrac V{ V_0} = \cfrac T {T_0} = \cfrac {P_0}P$

in the formula:

V – final volume(litres) = X;

V₀ – initial volume(litres) =300cm³=30dm³= = 30 litres;

T – final temperature(K) = 35° C = 308 K;

T₀ –initial temperature(K) = 27° C = 300 K;

P – final pressure(kPa) = 750 mmHg = 100 kPa;

P₀ – initial pressure(kPa) = 700 mmHg = 93,3 kPa.

$V=\cfrac {P_0V_0T} {PT_0} =\cfrac{93,3*30*308}{100*300}= 28,75litres$

ANSWER: 28,75 litres or 287,5 cm³