If the temperature of a gas confined to such a cylinder is raised from 287°C to 587°C, what is the ratio of the initial volume to the final volume if the pressure exerted on the gas remains constant?

1 : 2

Explanation:

From the question given, we obtained the following information:

T1 = 287°C = 287 + 273 = 560K

T1 = 587°C = 587 + 273 = 860K

V1 = V

V2 = ?

V1 / T1 = V2 / T2

V/560 = V2/860

Cross multiply

V2 x 560 = 860 x V

Divide both side by 560

V2 = (860 x V) / 560

V2 = 1.54V = 2V

The ratio of initial to final volume =

V1 : V2

= V : 2V

= 1 : 2